Celebratio Mathematica

I. Ka­plansky: “On a gen­er­al­iz­a­tion of the ‘probléme des ren­contres’,” Amer. Math. Monthly 46 : 3 (March 1939), pp. 159–​161. MR 1524528 JFM 65.​0035.​07 Zbl 0021.​03904

I. Ka­plansky and O. F. G. Schilling: “Some re­marks on re­l­at­ively com­plete fields,” Bull. Am. Math. Soc. 48 (1942), pp. 744–​747. MR 0007008 Zbl 0061.​05602

I. Ka­plansky: “Max­im­al fields with valu­ations,” Duke Math. J. 9 : 2 (1942), pp. 303–​321. MR 0006161 Zbl 0063.​03135

I. Ka­plansky: “Solu­tion of the ‘problème des ménages’,” Bull. Amer. Math. Soc. 49 (1943), pp. 784–​785. MR 0009006 Zbl 0060.​02904

I. Ka­plansky: “A char­ac­ter­iz­a­tion of the nor­mal dis­tri­bu­tion,” Ann. Math. Stat­ist­ics 14 : 2 (1943), pp. 197–​198. MR 0008311 Zbl 0060.​28510

I. Ka­plansky: “Sym­bol­ic solu­tion of cer­tain prob­lems in per­muta­tions,” Bull. Amer. Math. Soc. 50 (1944), pp. 906–​914. MR 0011393 Zbl 0063.​03136

I. Ka­plansky: “Lu­cas’s tests for Mersenne num­bers,” Amer. Math. Monthly 52 : 4 (April 1945), pp. 188–​190. MR 0012076 Zbl 0060.​08705

I. Ka­plansky and H. Pol­lard: “Note on the pre­ced­ing pa­per,” Bull. Amer. Math. Soc. 51 (1945), pp. 437–​438. MR 0012336 Zbl 0061.​12904

I. Ka­plansky: “The asymp­tot­ic dis­tri­bu­tion of runs of con­sec­ut­ive ele­ments,” Ann. Math. Stat­ist­ics 16 : 2 (1945), pp. 200–​203. MR 0013847 Zbl 0063.​03137

I. Ka­plansky: “A com­mon er­ror con­cern­ing kur­tos­is,” J. Am. Stat. As­soc. 40 : 230 (1945), pp. 259. MR 0012394 Zbl 0060.​30004

I. Ka­plansky: “A con­tri­bu­tion to von Neu­mann’s the­ory of games,” Ann. of Math. (2) 46 : 3 (July 1945), pp. 474–​479. MR 0013890 Zbl 0063.​03139

I. Ka­plansky and J. Ri­ordan: “Mul­tiple match­ing and runs by the sym­bol­ic meth­od,” Ann. Math. Stat­ist­ics 16 : 3 (September 1945), pp. 272–​277. MR 0014606 Zbl 0063.​03138

I. Ka­plansky: “A note on groups without iso­morph­ic sub­groups,” Bull. Amer. Math. Soc. 51 (1945), pp. 529–​530. MR 0012267 Zbl 0061.​02805

I. Ka­plansky: “Max­im­al fields with valu­ations, II,” Duke Math. J. 12 : 2 (1945), pp. 243–​248. MR 0012276

P. Erdős and I. Ka­plansky: “Se­quences of plus and minus,” Scripta Math. 12 (1946), pp. 73–​75. MR 0017241 Zbl 0060.​02901

I. S. Co­hen and I. Ka­plansky: “Rings with a fi­nite num­ber of primes, I,” Trans. Amer. Math. Soc. 60 : 3 (November 1946), pp. 468–​477. MR 0019595 Zbl 0060.​07002

I. Ka­plansky: “On a prob­lem of Kur­osch and Jac­ob­son,” Bull. Amer. Math. Soc. 52 (1946), pp. 496–​500. MR 0016758 Zbl 0060.​07403

P. Erdös and I. Ka­plansky: “The asymp­tot­ic num­ber of Lat­in rect­angles,” Amer. J. Math. 68 : 2 (April 1946), pp. 230–​236. MR 0015356 Zbl 0060.​02808

I. Ka­plansky and J. Ri­ordan: “The prob­lem of the rooks and its ap­plic­a­tions,” Duke Math. J. 13 : 2 (1946), pp. 259–​268. MR 0016082 Zbl 0060.​02903

I. Ka­plansky and J. Ri­ordan: “The problème des ménages,” Scripta Math. 12 (1946), pp. 113–​124. MR 0019074 Zbl 0060.​02905

I. Ka­plansky: “Semi-auto­morph­isms of rings,” Duke Math. J. 14 : 3 (1947), pp. 521–​525. MR 0022209 Zbl 0029.​24801

I. Ka­plansky: “To­po­lo­gic­al rings,” Amer. J. Math. 69 : 1 (January 1947), pp. 153–​183. MR 0019596 Zbl 0034.​16604

I. Ka­plansky: “Lat­tices of con­tinu­ous func­tions,” Bull. Amer. Math. Soc. 53 (1947), pp. 617–​623. MR 0020715 Zbl 0031.​21902

I. Ka­plansky: “To­po­lo­gic­al meth­ods in valu­ation the­ory,” Duke Math. J. 14 : 3 (1947), pp. 527–​541. MR 0022210 Zbl 0030.​01004

I. Ka­plansky: “To­po­lo­gic­al rings,” Bull. Amer. Math. Soc. 54 (1948), pp. 809–​826. MR 0026643 Zbl 0031.​19902

I. Ka­plansky: “Rings with a poly­no­mi­al iden­tity,” Bull. Amer. Math. Soc. 54 (1948), pp. 575–​580. MR 0025451 Zbl 0032.​00701

I. Ka­plansky: “Lat­tices of con­tinu­ous func­tions, II,” Amer. J. Math. 70 : 3 (July 1948), pp. 626–​634. MR 0026240 Zbl 0037.​20301

I. Ka­plansky: “Dual rings,” Ann. of Math. (2) 49 : 3 (July 1948), pp. 689–​701. MR 0025452 Zbl 0031.​34401

R. F. Arens and I. Ka­plansky: “To­po­lo­gic­al rep­res­ent­a­tion of al­geb­ras,” Trans. Amer. Math. Soc. 63 (1948), pp. 457–​481. MR 0025453 Zbl 0032.​00702

I. Ka­plansky: “Reg­u­lar Banach al­geb­ras,” J. In­di­an Math. Soc., New Ser. 12 (1948), pp. 57–​62. MR 0029106 Zbl 0032.​28401

I. Ka­plansky: “Loc­ally com­pact rings,” Amer. J. Math. 70 : 2 (April 1948), pp. 447–​459. MR 0024887 Zbl 0036.​02203

I. Ka­plansky: “Poly­no­mi­als in to­po­lo­gic­al fields,” Bull. Amer. Math. Soc. 54 (1948), pp. 909–​916. MR 0027269 Zbl 0032.​10305

I. Ka­plansky: “Groups with rep­res­ent­a­tions of bounded de­gree,” Ca­na­dian J. Math. 1 (1949), pp. 105–​112. MR 0028317 Zbl 0037.​01603

I. Ka­plansky: “Primary ideals in group al­geb­ras,” Proc. Nat. Acad. Sci. U. S. A. 35 : 3 (March 1949), pp. 133–​136. MR 0028318 Zbl 0032.​02902

I. Ka­plansky: “Normed al­geb­ras,” Duke Math. J. 16 : 3 (1949), pp. 399–​418. MR 0031193 Zbl 0033.​18701

I. Ka­plansky: “Ele­ment­ary di­visors and mod­ules,” Trans. Amer. Math. Soc. 66 (1949), pp. 464–​491. MR 0031470 Zbl 0036.​01903

I. Ka­plansky: “Quelques résul­tats sur les an­neaux d’opérat­eurs,” C. R. Acad. Sci. Par­is 231 (1950), pp. 485–​486. MR 0036934 Zbl 0037.​20501

I. Ka­plansky: “The Wei­er­strass the­or­em in fields with valu­ations,” Proc. Amer. Math. Soc. 1 (1950), pp. 356–​357. MR 0035760 Zbl 0038.​07002

I. Ka­plansky: “To­po­lo­gic­al rep­res­ent­a­tion of al­geb­ras, II,” Trans. Amer. Math. Soc. 68 (1950), pp. 62–​75. MR 0032612 Zbl 0035.​30301

I. Ka­plansky: “Forms in in­fin­ite-di­men­sion­al spaces,” Anais Acad. Brasil. Ci. 22 (1950), pp. 1–​17. MR 0037285

I. Ka­plansky and G. W. Mackey: “A gen­er­al­iz­a­tion of Ulm’s the­or­em,” Summa Brasil. Math. 2 (1951), pp. 195–​202. MR 0049165 Zbl 0054.​01803

I. Ka­plansky: “A the­or­em on rings of op­er­at­ors,” Pa­cific J. Math. 1 : 2 (1951), pp. 227–​232. MR 0050181 Zbl 0043.​11502

I. Ka­plansky: “The struc­ture of cer­tain op­er­at­or al­geb­ras,” Trans. Amer. Math. Soc. 70 (1951), pp. 219–​255. MR 0042066 Zbl 0042.​34901

I. S. Co­hen and I. Ka­plansky: “Rings for which every mod­ule is a dir­ect sum of cyc­lic mod­ules,” Math. Z. 54 : 2 (1951), pp. 97–​101. MR 0043073 Zbl 0043.​26702

I. Ka­plansky: “Semi-simple al­tern­at­ive rings,” Port. Math. 10 (1951), pp. 37–​50. MR 0041835 Zbl 0042.​26204

I. Ka­plansky: “A the­or­em on di­vi­sion rings,” Ca­na­dian J. Math. 3 (1951), pp. 290–​292. MR 0042389 Zbl 0043.​03701

I. Ka­plansky: “Group al­geb­ras in the large,” Tôhoku Math. J. (2) 3 : 3 (1951), pp. 249–​256. MR 0048712 Zbl 0044.​32803

I. Ka­plansky: “Pro­jec­tions in Banach al­geb­ras,” Ann. of Math. (2) 53 : 2 (March 1951), pp. 235–​249. MR 0042067 Zbl 0042.​12402

I. Ka­plansky: “Loc­ally com­pact rings, II,” Amer. J. Math. 73 : 1 (January 1951), pp. 20–​24. MR 0039706 Zbl 0045.​16102

I. Ka­plansky: “To­po­lo­gic­al al­gebra,” pp. 112–​113 in Pro­ceed­ings of the In­ter­na­tion­al Con­gress of Math­em­aticians (Cam­bridge, MA, 3 Au­gust–6 Septem­ber, 1950), vol. 2. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1952. MR 0044043 Zbl 0048.​26902

I. Ka­plansky: “Al­geb­ras of type I,” Ann. of Math. (2) 56 : 3 (November 1952), pp. 460–​472. MR 0050182 Zbl 0047.​35701

I. Ka­plansky: “Sym­metry of Banach al­geb­ras,” Proc. Amer. Math. Soc. 3 (1952), pp. 396–​399. MR 0048711 Zbl 0047.​11002

I. Ka­plansky: “Loc­ally com­pact rings, III,” Amer. J. Math. 74 : 4 (October 1952), pp. 929–​935. MR 0050570 Zbl 0048.​02503

I. Ka­plansky: “Or­tho­gon­al sim­il­ar­ity in in­fin­ite-di­men­sion­al spaces,” Proc. Amer. Math. Soc. 3 (1952), pp. 16–​25. MR 0046564 Zbl 0047.​10703

I. Ka­plansky: “Mod­ules over Dede­kind rings and valu­ation rings,” Trans. Amer. Math. Soc. 72 (1952), pp. 327–​340. MR 0046349 Zbl 0046.​25701

I. Ka­plansky: “Some res­ults on abeli­an groups,” Proc. Nat. Acad. Sci. U. S. A. 38 : 6 (June 1952), pp. 538–​540. MR 0049189 Zbl 0047.​25804

I. Ka­plansky: “Rep­res­ent­a­tions of sep­ar­able al­geb­ras,” Duke Math. J. 19 : 1 (1952), pp. 219–​222. MR 0045701 Zbl 0046.​11904

I. Ka­plansky: “In­fin­ite-di­men­sion­al quad­rat­ic forms ad­mit­ting com­pos­i­tion,” Proc. Amer. Math. Soc. 4 (1953), pp. 956–​960. MR 0059895 Zbl 0052.​11004

I. Ka­plansky: “Com­pletely con­tinu­ous nor­mal op­er­at­ors with prop­erty \( L \),” Pa­cific J. Math. 3 : 4 (1953), pp. 721–​724. MR 0058873 Zbl 0051.​09201

I. Ka­plansky: “Quad­rat­ic forms,” J. Math. Soc. Ja­pan 5 : 2 (July 1953), pp. 200–​207. MR 0059260 Zbl 0051.​02902

I. Ka­plansky: “Mod­ules over op­er­at­or al­geb­ras,” Amer. J. Math. 75 : 4 (October 1953), pp. 839–​858. MR 0058137 Zbl 0051.​09101

I. Ka­plansky: “Dual mod­ules over a valu­ation ring, I,” Proc. Amer. Math. Soc. 4 (1953), pp. 213–​219. MR 0053092 Zbl 0053.​35305

I. Ka­plansky: “Products of nor­mal op­er­at­ors,” Duke Math. J. 20 : 2 (1953), pp. 257–​260. MR 0054171 Zbl 0050.​34101

I. Ka­plansky: “Ring iso­morph­isms of Banach al­geb­ras,” Ca­na­dian J. Math. 6 (1954), pp. 374–​381. MR 0062960 Zbl 0058.​10505

I. Ka­plansky: In­fin­ite abeli­an groups, 1st edition. Uni­versity of Michigan Pub­lic­a­tions in Math­em­at­ics 2. Uni­versity of Michigan Press (Ann Ar­bor, MI), 1954. MR 0065561 Zbl 0057.​01901

I. Ka­plansky: “Any or­thocom­ple­men­ted com­plete mod­u­lar lat­tice is a con­tinu­ous geo­metry,” Ann. of Math. (2) 61 : 3 (May 1955), pp. 524–​541. MR 0088476 Zbl 0065.​01801

I. Ka­plansky: “Prob­lems in the the­ory of rings,” pp. v+60 in Re­port of a con­fer­ence on lin­ear al­geb­ras (Shel­ter Is­land, NY, 6–8 June, 1956). Edi­ted by A. A. Al­bert. Na­tion­al Academy of Sci­ences-Na­tion­al Re­search Coun­cil Pub­lic­a­tions 502. Na­tion­al Re­search Coun­cil (Wash­ing­ton, DC), 1957. MR 0096696 Zbl 0095.​25602

I. Ka­plansky: An in­tro­duc­tion to dif­fer­en­tial al­gebra, 1st edition. Ac­tu­alités Sci­en­ti­fiques et In­dus­tri­elles 1251. Her­mann (Par­is), 1957. Also as Pub­lic­a­tions de l’In­sti­tut de Mathématique de l’Uni­versité de Nan­ca­go 5. MR 0093654 Zbl 0083.​03301

I. Ka­plansky: “On the di­men­sion of mod­ules and al­geb­ras, X: A right hered­it­ary ring which is not left hered­it­ary,” Nagoya Math. J. 13 (1958), pp. 85–​88. MR 0100619 Zbl 0084.​26603

I. Ka­plansky: In­tro­duc­tion to Galois the­ory. Not­as de Matemática 13. In­sti­tuto de Matemática Pura e Ap­licada (Rio de Janeiro), 1958. MR 0100585

I. Ka­plansky: “Lie al­geb­ras of char­ac­ter­ist­ic \( p \),” Trans. Amer. Math. Soc. 89 : 1 (September 1958), pp. 149–​183. MR 0099359 Zbl 0082.​25103

I. Ka­plansky: “Func­tion­al ana­lys­is,” pp. 1–​34 in R. For­tet, M. Hall, Jr., E. He­witt, and I. Ka­plansky: Some as­pects of ana­lys­is and prob­ab­il­ity. Sur­veys in Ap­plied Math­em­at­ics 4. John Wiley & Sons (New York), 1958. MR 0101475 Zbl 0087.​31102

I. Ka­plansky: “Pro­ject­ive mod­ules,” Ann. of Math (2) 68 : 2 (September 1958), pp. 372–​377. MR 0100017 Zbl 0083.​25802

I. Ka­plansky: “De­riv­a­tions of Banach al­geb­ras,” pp. 254–​258 in Sem­inars on ana­lyt­ic func­tions (In­sti­tute for Ad­vanced Study, Prin­ceton, NJ, 2–14 Septem­ber, 1957), vol. 2: Sem­in­ar III, Riemann sur­faces; Sem­in­ar IV, The­ory of auto­morph­ic func­tions; Sem­in­ar V, Ana­lyt­ic func­tions as re­lated to Banach al­geb­ras. Prin­ceton Uni­versity Press, 1958. Zbl 0096.​08301

I. Ka­plansky: Vvedenie v dif­fer­ent­si­al’nuyu al­gebru. Edi­ted by M. M. Post­nikov. Bib­li­oteka Sbornika “Matem­atika”. Izdat. In­ostr. Lit. (Mo­scow), 1959. MR 0111744 Zbl 0089.​02301

I. Ka­plansky: To­po­lo­gic­al al­gebra. Not­as de Matemática 16. In­sti­tuto de Matemática Pura e Ap­licada (Rio de Janeiro), 1959. MR 0107182 Zbl 0092.​32002

Fi­nite groups (New York, 23–24 April, 1959). Edi­ted by A. A. Al­bert and I. Ka­plansky. Pro­ceed­ings of Sym­po­sia in Pure Math­em­at­ics 1. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1959. Zbl 0097.​25602 book

I. Ka­plansky: “A char­ac­ter­iz­a­tion of Prüfer rings,” J. In­di­an Math. Soc., New Ser. 24 (1960), pp. 279–​281. MR 0125137 Zbl 0118.​27202

I. J. Schark: “Max­im­al ideals in an al­gebra of bounded ana­lyt­ic func­tions,” J. Math. Mech. 10 (1961), pp. 735–​746. “I. J. Schark” was a pseud­onym for the group con­sist­ing of Irving Ka­plansky, John Wer­mer, Shizuo Kak­utani, R. Creighton Buck, Hal­sey Roy­den, An­drew Gleason, Richard Arens and Ken­neth Hoff­man. MR 0125442 Zbl 0139.​30402

I. Ka­plansky: “\( R \)-se­quences and ho­mo­lo­gic­al di­men­sion,” Nagoya Math. J. 20 (1962), pp. 195–​199. Ded­ic­ated to Richard Brauer on his 60th birth­day. MR 0175955 Zbl 0106.​25702

I. Ka­plansky: “De­com­pos­ab­il­ity of mod­ules,” Proc. Amer. Math. Soc. 13 (1962), pp. 532–​535. MR 0137738 Zbl 0118.​27302

I. Ka­plansky: “The split­ting of mod­ules over in­teg­ral do­mains,” Arch. Math. (Basel) 13 (1962), pp. 341–​343. Ded­ic­ated to Re­in­hold Baer on his 60th birth­day. MR 0144939 Zbl 0108.​26302

I. Ka­plansky: “Lie al­geb­ras,” pp. 115–​132 in Lec­tures on mod­ern math­em­at­ics, vol. 1. Edi­ted by T. L. Saaty. Wiley (New York), 1963. MR 0178097 Zbl 0147.​28303

I. Ka­plansky: “The ho­mo­lo­gic­al di­men­sion of a quo­tient field,” Nagoya Math. J. 27 : 1 (1966), pp. 139–​142. Ded­ic­ated to the memory of Pro­fess­or Ta­dasi Na­kayama. MR 0194454 Zbl 0145.​27803

I. Ka­plansky: Rings of op­er­at­ors. W. A. Ben­jamin (New York and Am­s­ter­dam), 1968. MR 0244778 Zbl 0174.​18503

I. Ka­plansky: “Com­pos­i­tion of bin­ary quad­rat­ic forms,” Stu­dia Math. 31 (1968), pp. 523–​530. MR 0234914 Zbl 0212.​39101

I. Ka­plansky: In­fin­ite abeli­an groups, re­vised edition. Uni­versity of Michigan Pub­lic­a­tions in Math­em­at­ics 2. Uni­versity of Michigan Press (Ann Ar­bor, MI), 1969. MR 0233887 Zbl 0194.​04402

I. Ka­plansky: Fields and rings. Uni­versity of Chica­go Press, 1969. MR 0269449

I. Ka­plansky: Lin­ear al­gebra and geo­metry: A second course. Allyn and Ba­con (Bo­ston, MA), 1969. MR 0249444 Zbl 0184.​24201

I. Ka­plansky and R. J. Shaker: “Ab­stract quad­rat­ic forms,” Canad. J. Math. 21 (1969), pp. 1218–​1233. MR 0249456 Zbl 0238.​15010

I. Ka­plansky: “Fröhlich’s loc­al quad­rat­ic forms,” J. Reine An­gew. Math. 239–240 (1969), pp. 74–​77. Ded­ic­ated to Wolfgang Krull on his sev­en­ti­eth birth­day. MR 0256989 Zbl 0238.​15011

I. Ka­plansky: “Sub­mod­ules of qua­ternion al­geb­ras,” Proc. Lon­don Math. Soc. (3) 19 : 2 (1969), pp. 219–​232. MR 0240142 Zbl 0212.​39102

I. Ka­plansky: “‘Prob­lems in the the­ory of rings’ re­vis­ited,” Amer. Math. Monthly 77 : 5 (May 1970), pp. 445–​454. MR 0258865 Zbl 0208.​29701

I. Ka­plansky: Al­geb­ra­ic and ana­lyt­ic as­pects of op­er­at­or al­geb­ras (Uni­versity of Hawaii, 9–13 June, 1969). Re­gion­al Con­fer­ence Series in Math­em­at­ics 1. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1970. MR 0312283 Zbl 0217.​44902

I. Ka­plansky: Com­mut­at­ive rings, re­vised edition. Allyn and Ba­con (Bo­ston, MA), 1970. MR 0254021 Zbl 0203.​34601

I. Ka­plansky: Lie al­geb­ras and loc­ally com­pact groups, 1st edition. Chica­go Lec­tures in Math­em­at­ics. Uni­versity of Chica­go Press, 1971. MR 0276398 Zbl 0223.​17001

I. Ka­plansky: “A sur­vey of op­er­at­or al­geb­ras,” Queen’s Pa­pers in Pure and Ap­pl. Math. 27 (1971), pp. 1–​18. Zbl 0264.​13001

I. Ka­plansky: Set the­ory and met­ric spaces, 1st edition. Ad­vanced Math­em­at­ics. Allyn and Ba­con (Bo­ston, MA), 1972. MR 0453533 Zbl 0242.​00006

I. Ka­plansky: “Ad­ja­cent prime ideals,” J. Al­gebra 20 : 1 (January 1972), pp. 94–​97. Ded­ic­ated to Pro­fess­or Richard Brauer, to com­mem­or­ate his 70th birth­day. MR 0289478 Zbl 0229.​13003

I. Ka­plansky: Fields and rings, 2nd edition. Chica­go Lec­tures in Math­em­at­ics. Uni­versity of Chica­go Press, 1972. MR 0349646 Zbl 1001.​16500

I. Ka­plansky: “In­fin­ite-di­men­sion­al Lie al­geb­ras,” pp. 237–​241 in Col­lec­tion of art­icles ded­ic­ated to the memory of Ab­ra­ham Ad­ri­an Al­bert, published as Scripta Math. 29 : 3–​4 (1973). MR 0404368 Zbl 0267.​17016

W. But­ler and I. Ka­plansky: “A curi­ous prop­erty of three-by-three matrices and an ap­plic­a­tion to or­ders,” Lin­ear Al­gebra Ap­pl. 6 (1973), pp. 269–​272. MR 0314868 Zbl 0281.​15010

I. Ka­plansky: “Com­mut­at­ive rings,” pp. 153–​166 in Con­fer­ence on com­mut­at­ive al­gebra (Lawrence, KA, 8–12 May, 1972). Edi­ted by J. W. Brew­er and E. A. Rut­ter. Lec­ture Notes in Math­em­at­ics 311. Spring­er (Ber­lin), 1973. MR 0360550 Zbl 0254.​13003

S. Brudno and I. Ka­plansky: “Equal sums of sixth powers,” J. Num­ber The­ory 6 (1974), pp. 401–​403. MR 0371809 Zbl 0291.​10018

I. Ka­plansky: Com­mut­at­ive rings, 2nd re­vised edition. The Uni­versity of Chica­go Press, 1974. MR 0345945 Zbl 0296.​13001

I. Ka­plansky: Top­ics in com­mut­at­ive ring the­ory. Uni­versity of Chica­go, 1974. Lec­ture notes. MR 0427288 Zbl 0348.​13001

I. Ka­plansky: Al­gebry Li i lokal’no kom­pakt­nye gruppy. Mir (Mo­scow), 1974. Zbl 0294.​17003

I. Ka­plansky: “Three-di­men­sion­al di­vi­sion al­geb­ras, II,” Hou­s­ton J. Math. 1 : 1 (1975), pp. 63–​79. MR 0432705 Zbl 0355.​17007

I. Ka­plansky: Bi­al­geb­ras. Lec­ture Notes in Math­em­at­ics. Uni­versity of Chica­go, 1975. MR 0435126

I. Ka­plansky and R. E. Ki­bler: “In­fin­ite-di­men­sion­al Lie al­geb­ras, II,” pp. 61–​65 in Col­lec­tion of art­icles ded­ic­ated to Olga Taussky-Todd, published as Lin­ear and Mul­ti­lin­ear Al­gebra 3 : 1–​2 (1975–1976). MR 0404369 Zbl 0341.​17005

I. Ka­plansky: “Three-di­men­sion­al di­vi­sion al­geb­ras,” J. Al­gebra 40 : 2 (1976), pp. 384–​391. Ded­ic­ated to the memory of L. E. Dick­son (1874–1954). MR 0432704 Zbl 0355.​17006

P. G. O. Fre­und and I. Ka­plansky: “Simple su­per­sym­met­ries,” J. Math­em­at­ic­al Phys. 17 : 2 (1976), pp. 228–​231. MR 0403438 Zbl 0399.​17005

I. Ka­plansky: An in­tro­duc­tion to dif­fer­en­tial al­gebra, 2nd edition. Ac­tu­alités Sci­en­ti­fiques et In­dus­tri­elles 1251. Her­mann (Par­is), 1976. Also as Pub­lic­a­tions de l’In­sti­tut de Mathématique de l’Uni­versit’e de Nan­ca­go 5. MR 0460303 Zbl 0954.​12500

I. Ka­plansky: Set the­ory and met­ric spaces, 2nd edition. Chelsea Pub­lish­ing Co. (New York), 1977. MR 0446980 Zbl 0397.​54002

I. Ka­plansky: “The En­gel–Kol­chin the­or­em re­vis­ited,” pp. 233–​237 in Con­tri­bu­tions to al­gebra: Col­lec­tion of pa­pers ded­ic­ated to El­lis Kol­chin. Edi­ted by H. Bass, P. J. Cas­sidy, and J. Ko­vacic. Aca­dem­ic Press (New York), 1977. MR 0463200 Zbl 0364.​15008

I. Ka­plansky: “Five the­or­ems on abeli­an groups,” pp. 47–​51 in Top­ics in al­gebra (Aus­trali­an Na­tion­al Uni­versity, Can­berra, 9 Janu­ary–17 Feb­ru­ary, 1978). Edi­ted by M. F. New­man. Lec­ture Notes in Math­em­at­ics 697. Spring­er (Ber­lin), 1978. MR 524363 Zbl 0398.​20057

I. Ka­plansky: “In­fin­ite-di­men­sion­al Lie al­geb­ras, III,” pp. 363–​377 in Me­mori­al is­sue for Mar­ston Morse, published as Bull. Inst. Math. Acad. Sin­ica 6 : 2, part 1 (1978). MR 0506486 Zbl 0396.​17010

I. N. Her­stein and I. Ka­plansky: Mat­ters math­em­at­ic­al, 2nd edition. Chelsea Pub­lish­ing Co. (New York), 1978. MR 0497399 Zbl 0386.​00001

I. Ka­plansky: “Com­pos­i­tion of quad­rat­ic and al­tern­ate forms,” C. R. Math. Rep. Acad. Sci. Canada 1 : 2 (1978–1979), pp. 87–​90. MR 519530 Zbl 0405.​15020

S. Mac Lane: Se­lec­ted pa­pers. Edi­ted by I. Ka­plansky. Spring­er (New York), 1979. With con­tri­bu­tions by Al­fred Put­nam, Ro­ger Lyn­don, Ka­plansky, Samuel Ei­len­berg and Max Kelly. MR 544841 Zbl 0459.​01024 book

I. Ka­plansky: Al­geb­ra­ic and ana­lyt­ic as­pects of op­er­at­or al­geb­ras (Uni­versity of Hawaii, 9–13 June, 1969), re­print edition. Re­gion­al Con­fer­ence Series in Math­em­at­ics 1. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1979. Zbl 0475.​46043

I. Ka­plansky: “Su­per­al­geb­ras,” Pa­cific J. Math. 86 : 1 (1980), pp. 93–​98. MR 586871 Zbl 0438.​17003

I. Ka­plansky: “Jac­ob­son’s lemma re­vis­ited,” J. Al­gebra 62 : 2 (February 1980), pp. 473–​476. Ded­ic­ated to Nath­an Jac­ob­son on his 70th birth­day. MR 563242 Zbl 0425.​16020

I. Ka­plansky: “Hil­bert’s 17th prob­lem,” Nor­mat 30 : 4 (1982), pp. 154–​159. In Nor­we­gi­an. MR 693567 Zbl 0518.​12010

I. Ka­plansky: “Nor­mal an­ti­lin­ear op­er­at­ors on a Hil­bert space,” pp. 379–​385 in Al­geb­ra­ists’ homage: Pa­pers in ring the­ory and re­lated top­ics (New Haven, CN, 2–5 June, 1981). Edi­ted by S. A. Amit­sur, D. J. Salt­man, and G. B. Se­lig­man. Con­tem­por­ary Math­em­at­ics 13. Amer. Math. Soc. (Provid­ence, RI), 1982. Con­fer­ence in hon­or of Nath­an Jac­ob­son. MR 685974 Zbl 0514.​47016

I. Ka­plansky: “Some simple Lie al­geb­ras of char­ac­ter­ist­ic 2,” pp. 127–​129 in Lie al­geb­ras and re­lated top­ics (New Brun­swick, NJ, 29–31 May, 1981). Edi­ted by D. J. Winter. Lec­ture Notes in Math­em­at­ics 933. Spring­er (Ber­lin), 1982. MR 675111 Zbl 0493.​17005

I. Ka­plansky: “The Vi­ra­s­oro al­gebra,” Comm. Math. Phys. 86 : 1 (1982), pp. 49–​54. MR 678001 Zbl 0515.​17007

I. Ka­plansky: “Hil­bert’s 5th prob­lem: Lie’s no­tion of con­tinu­ous trans­form­a­tion group without the as­sump­tion that the func­tions which define the group are dif­fer­en­ti­able,” Nor­mat 32 : 1 (1984), pp. 12–​18. In Nor­we­gi­an. MR 736957 Zbl 0527.​22005

I. Ka­plansky and L. J. Santhar­oubane: “Har­ish-Chandra mod­ules over the Vi­ra­s­oro al­gebra,” pp. 217–​231 in In­fin­ite-di­men­sion­al groups with ap­plic­a­tions (Berke­ley, CA, 1984). Edi­ted by V. Kac. Math­em­at­ic­al Sci­ences Re­search In­sti­tute Pub­lic­a­tions 4. Spring­er (New York), 1985. MR 823321 Zbl 0589.​17013

G. M. Berg­man and I. Ka­plansky: “A cofi­nal col­or­ing the­or­em for par­tially ordered al­geb­ras,” Or­der 1 : 3 (1985), pp. 259–​263. MR 779391 Zbl 0559.​06001

I. Ka­plansky: “MSRI after three years,” Math. In­tel­li­gen­cer 7 : 4 (1985), pp. 48–​55. MR 810145 Zbl 0578.​01032

I. Ka­plansky: “Al­geb­ras with many de­riv­a­tions,” pp. 431–​438 in As­pects of math­em­at­ics and its ap­plic­a­tions. Edi­ted by J. A. Bar­roso. North-Hol­land Math­em­at­ics Lib­rary 34. North-Hol­land (Am­s­ter­dam), 1986. MR 849570 Zbl 0592.​17005

I. Ka­plansky: “Dual vec­tor spaces,” pp. 151–​161 in Group rep­res­ent­a­tions, er­god­ic the­ory, op­er­at­or al­geb­ras, and math­em­at­ic­al phys­ics (Berke­ley, CA, 1984). Edi­ted by C. C. Moore. Math­em­at­ic­al Sci­ences Re­search In­sti­tute Pub­lic­a­tions 6. Spring­er (New York), 1987. Pro­ceed­ings of a con­fer­ence in hon­or of George W. Mackey. MR 880375 Zbl 0617.​46008

I. Ka­plansky: “Ab­ra­ham Ad­ri­an Al­bert: Novem­ber 9, 1905–June 6, 1972,” pp. 244–​264 in A cen­tury of math­em­at­ics in Amer­ica, part I. Edi­ted by P. Duren, R. A. As­key, and U. C. Merzbach. His­tory of Math­em­at­ics 1. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1988. MR 1003173 Zbl 0667.​01014 incollection

“Wil­li­am J. LeVeque re­tires as ex­ec­ut­ive dir­ect­or,” No­tices Amer. Math. Soc. 35 : 6 (1988), pp. 783–​784. With com­ments by George Daniel Mostow and Irving Ka­plansky. MR 950588

I. Ka­plansky: “Hil­bert’s 7th prob­lem: On cer­tain ir­ra­tion­al and tran­scend­ent­al num­bers,” Nor­mat 36 : 2 (1988), pp. 41–​47, 90. In Swedish with Eng­lish sum­mary. Trans­la­tion of “Hil­bert’s Prob­lems” (Chapter 7), Uni­versity of Chica­go Lec­tures Notes, 1977. MR 952759

“1989 Steele Prizes awar­ded at Sum­mer Meet­ing in Boulder,” No­tices Amer. Math. Soc. 36 : 7 (1989), pp. 831–​836. MR 1010381

I. Ka­plansky: “CCR-rings,” Pa­cific J. Math. 137 : 1 (1989), pp. 155–​157. MR 983333 Zbl 0674.​16012

I. Ka­plansky: “Al­geb­ra­ic po­lar de­com­pos­i­tion,” SIAM J. Mat­rix Anal. Ap­pl. 11 : 2 (April 1990), pp. 213–​217. MR 1041244 Zbl 0698.​15006

I. Ka­plansky: “Nil­po­tent ele­ments in Lie al­geb­ras,” J. Al­gebra 133 : 2 (1990), pp. 467–​471. Ded­ic­ated to the memory of Yitz Her­stein. MR 1067419 Zbl 0707.​17010

I. Ka­plansky: “\( Z_2 \)-graded al­geb­ras,” Illinois J. Math. 35 : 1 (1991), pp. 85–​92. MR 1076668 Zbl 0692.​17010

I. Ka­plansky: “Re­min­s­cences,” pp. 87–​89 in Paul Hal­mos: Cel­eb­rat­ing 50 years of math­em­at­ics. Edi­ted by J. H. Ewing and F. W. Gehring. Spring­er-Ver­lag (New York), 1991. Zbl 0784.​01031

D. J. Al­bers: “In­ter­view with Irving Ka­plansky,” The Col­lege Math­em­at­ics Journ­al 22 : 2 (1991), pp. 99–​117. article

incollection I. Ka­plansky: “Shi­ing Shen Chern with ad­mir­a­tion as he ap­proaches his 80th birth­day,” pp. 95–​97 in S. S. Chern: A great geo­met­er of the twen­ti­eth cen­tury. Edi­ted by S.-T. Yau. Mono­graphs in geo­metry and to­po­logy. In­ter­na­tion­al Press (Hong Kong), 1992. MR 1201346

A. A. Al­bert: Col­lec­ted math­em­at­ic­al pa­pers, part 2: Nonas­so­ci­at­ive al­geb­ras and mis­cel­lany. Edi­ted by R. E. Block, N. Jac­ob­son, J. M. Os­born, D. J. Salt­man, and D. Zel­in­sky. Col­lec­ted Works 3.2. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1993. With a pre­face by the ed­it­ors and Irving Ka­plansky. With bio­graph­ies of Al­bert by Zel­in­sky, Jac­ob­son, Ka­plansky and Is­rael N. Her­stein. MR 1213452 Zbl 0790.​01040 book

A. A. Al­bert: Col­lec­ted math­em­at­ic­al pa­pers, part 1: As­so­ci­at­ive al­geb­ras and Riemann matrices. Edi­ted by R. E. Block, N. Jac­ob­son, J. M. Os­born, D. J. Salt­man, and D. Zel­in­sky. Col­lec­ted Works 3.1. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1993. With a pre­face by the ed­it­ors and Irving Ka­plansky. With bio­graph­ies of Al­bert by Zel­in­sky, Jac­ob­son, Ka­plansky and Is­rael N. Her­stein. MR 1213451 Zbl 0790.​01039 book

I. Ka­plansky: “Quad­rat­ic re­cipro­city in Dick­son’s ‘His­tory’,” No­tices Amer. Math. Soc. 40 : 9 (1993), pp. 1155. MR 1244026 Zbl 1194.​01035

I. Ka­plansky: “A quasi-com­mut­at­ive ring that is not neo-com­mut­at­ive,” Proc. Amer. Math. Soc. 122 : 1 (September 1994), pp. 321. MR 1257114 Zbl 0814.​16032

I. Ka­plansky: “To Har­old Wi­dom on his 60th birth­day,” pp. xii–​xiv in Toep­litz op­er­at­ors and re­lated top­ics (Santa Cruz, CA, 20–22 Septem­ber, 1992). Edi­ted by E. L. Bas­or and I. Go­hberg. Op­er­at­or The­ory: Ad­vances and Ap­plic­a­tions 71. Birkhäuser (Basel), 1994. MR 1300207 Zbl 0809.​01026

I. Ka­plansky: Lie al­geb­ras and loc­ally com­pact groups, re­print of 2nd edition. Chica­go Lec­tures in Math­em­at­ics. Uni­versity of Chica­go Press, 1995. MR 1324106

I. Ka­plansky: Fields and rings, re­print of 2nd edition. Chica­go Lec­tures in Math­em­at­ics. Uni­versity of Chica­go Press, 1995. MR 1324341 Zbl 1001.​16501

I. Ka­plansky: “The first non­trivi­al genus of pos­it­ive def­in­ite tern­ary forms,” Math. Comp. 64 : 209 (1995), pp. 341–​345. MR 1265017 Zbl 0826.​11015

I. Ka­plansky: “Nev­er too late,” Amer. Math. Monthly 102 : 3 (March 1995), pp. 259. Ad­dendum to “De­term­in­ants whose ele­ments are 0 and 1” by J. Wil­li­am­son. MR 1317848 Zbl 0842.​15005

I. Ka­plansky: “A con­tri­bu­tion to von Neu­mann’s the­ory of games, II,” Lin­ear Al­gebra Ap­pl. 226–228 (1995), pp. 371–​373. MR 1344575 Zbl 0854.​90143

W. C. Jagy and I. Ka­plansky: “Sums of squares, cubes, and high­er powers,” Ex­per­i­ment. Math. 4 : 3 (1995), pp. 169–​173. MR 1387474 Zbl 0867.​11066

I. Ka­plansky: Se­lec­ted pa­pers and oth­er writ­ings. Spring­er (New York), 1995. With an in­tro­duc­tion by Hy­man Bass. MR 1340874 Zbl 0826.​01039

I. Ka­plansky: “A second genus of reg­u­lar tern­ary forms,” Math­em­atika 42 : 2 (1995), pp. 444–​447. MR 1376740 Zbl 0841.​11017

I. Ka­plansky: “Tern­ary pos­it­ive quad­rat­ic forms that rep­res­ent all odd pos­it­ive in­tegers,” Acta Arith. 70 : 3 (1995), pp. 209–​214. MR 1322563 Zbl 0817.​11024

I. Ka­plansky: “In­tegers uniquely rep­res­en­ted by cer­tain tern­ary forms,” pp. 86–​94 in The math­em­at­ics of Paul Erdős, vol. I. Edi­ted by R. L. Gra­ham and J. Nešetřil. Al­gorithms and Com­bin­at­or­ics 13. Spring­er (Ber­lin), 1997. MR 1425177 Zbl 0867.​11028

W. C. Jagy, I. Ka­plansky, and A. Schiemann: “There are 913 reg­u­lar tern­ary forms,” Math­em­atika 44 : 2 (1997), pp. 332–​341. MR 1600553 Zbl 0923.​11060

F. Busse­maker, I. Ka­plansky, B. McKay, and J. Seidel: “De­term­in­ants of matrices of the con­fer­ence type,” Lin­ear Al­gebra Ap­pl. 261 (1997), pp. 275–​292. MR 1448877 Zbl 0878.​15001

I. Ka­plansky: “A sa­lute to Euler and Dick­son on the oc­ca­sion of Hy’s 65th birth­day,” pp. 79–​81 in Al­gebra, \( K \)-the­ory, groups, and edu­ca­tion (Columbia Uni­versity, New York, 1997). Edi­ted by T.-Y. Lam and A. R. Ma­gid. Con­tem­por­ary Math­em­at­ics 243. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1999. Con­fer­ence on the oc­ca­sion of Hy­man Bass’s 65th Birth­day. MR 1732041 Zbl 1017.​11014

G. Ben­k­art, I. Ka­plansky, K. Mc­Crim­mon, D. J. Salt­man, and G. B. Se­lig­man: “Nath­an Jac­ob­son (1910–1999),” No­tices Amer. Math. Soc. 47 : 9 (2000), pp. 1061–​1071. MR 1777887 Zbl 1028.​01010

I. Ka­plansky: Lin­ear al­gebra and geo­metry: A second course, re­print of re­vised 2nd edition. Dover Pub­lic­a­tions (Min­eola, NY), 2003. MR 2001037 Zbl 1040.​15001

W. C. Jagy and I. Ka­plansky: “In­def­in­ite bin­ary quad­rat­ic forms with Markov ra­tio ex­ceed­ing 9,” pp. 305–​316 in Spe­cial is­sue in hon­or of Re­in­hold Baer (1902–1979), published as Illinois J. Math. 47 : 1–​2 (2003). MR 2031324 Zbl 1084.​11036

I. Ka­plansky: “The forms \( x+32y^2 \) and \( x+64y^2 \),” Proc. Amer. Math. Soc. 131 : 7 (2003), pp. 2299–​2300. MR 1963780 Zbl 1055.​11026

B. S. Ya­dav: “Irving Ka­plansky,” Gaṇita Bhāratī 28 : 1–​2 (2006), pp. 191. MR 2468641

H. Bass and T. Y. Lam: “Irving Ka­plansky 1917–2006,” No­tices Amer. Math. Soc. 54 : 11 (2007), pp. 1477–​1493. With con­tri­bu­tions from Richard Kadis­on, Peter G. O. Fre­und, Calv­in Moore, Susanna S. Epp, E. Gra­ham Evans, Jr., Joseph Rot­man, Lance Small, Man­jul Bhar­gava, Dav­id Eis­en­bud, John Ewing and Lucy Ka­plansky. MR 2361160 Zbl 1174.​01014

R. V. Kadis­on: “Irving Ka­plansky’s role in mid-twen­ti­eth cen­tury func­tion­al ana­lys­is,” No­tices Amer. Math. Soc. 55 : 2 (2008), pp. 216–​225. MR 2375023 Zbl 1149.​01017