### Abraham Adrian Albert, ~~1905–1972~~

#### Filter the Bibliography List

A determination of all associative algebras in two, three and four units over a nonmodular field __\( \frak{F} \)__.
M.S. Thesis,
University of Chicago,
1927.
phdthesis

A determination of all normal division algebras in sixteen units,”
Trans. Am. Math. Soc.
31 : 2
(1929),
pp. 253–260.
An abstract was published in *Bull. Am. Math. Soc.* **34**:4 (1928).
MR
1501481
JFM
55.0090.04
article

On direct products,”
Trans. Am. Math. Soc.
33 : 3
(1931),
pp. 690–711.
An abstract was published in *Bull. Am. Math. Soc.* **37**:5 (1931).
MR
1501610
JFM
57.0159.01
Zbl
0002.24605
article

A determination of all normal division algebras over an algebraic number field,”
Trans. Am. Math. Soc.
34 : 3
(1932),
pp. 722–726.
An abstract was published in *Bull. Am. Math. Soc.* **38**:3 (1932).
MR
1501659
Zbl
0005.05003
article

A note on normal division algebras of order sixteen,”
Bull. Am. Math. Soc.
38 : 10
(1932),
pp. 703–706.
An abstract was published in *Bull. Am. Math. Soc.* **38**:7 (1932).
MR
1562492
JFM
58.0141.03
Zbl
0005.34202
article

Non-cyclic algebras of degree and exponent four,” Trans. Am. Math. Soc. 35 : 1 (1933), pp. 112–121. MR 1501674 JFM 59.0158.02 Zbl 0006.15103 article

: “Cyclic fields of degree eight,”
Trans. Am. Math. Soc.
35 : 4
(1933),
pp. 949–964.
An abstract was published in *Bull. Am. Math. Soc.* **39**:1 (1933).
MR
1501727
JFM
59.0158.03
Zbl
0008.00201
article

On normal Kummer fields over a non-modular field,” Trans. Am. Math. Soc. 36 : 4 (1934), pp. 885–892. MR 1501774 JFM 60.0915.03 Zbl 0010.14902 article

: “On the construction of Riemann matrices. I,” Ann. Math. (2) 35 : 1 (January 1934), pp. 1–28. MR 1503140 JFM 60.0908.02 Zbl 0010.00304 article

: “On a certain algebra of quantum mechanics,” Ann. Math. (2) 35 : 1 (January 1934), pp. 65–73. MR 1503142 JFM 60.0902.03 Zbl 0008.42104 article

: “A solution of the principal problem in the theory of Riemann matrices,”
Ann. Math. (2)
35 : 3
(July 1934),
pp. 500–515.
An abstract was published in *Bull. Am. Math. Soc.* **40**:3.
MR
1503176
Zbl
0010.00401
article

Normal division algebras of degree 4 over __\( F \)__ of characteristic 2,”
Am. J. Math.
56 : 1–4
(1934),
pp. 75–86.
MR
1507931
JFM
60.0105.01
Zbl
0008.24202
article

Integral domains of rational generalized quaternion algebras,”
Bull. Am. Math. Soc.
40 : 2
(1934),
pp. 164–176.
An abstract was published in *Bull. Am. Math. Soc.* **39**:7 (1933).
MR
1562813
Zbl
0008.29301
article

Cyclic fields of degree __\( p^n \)__ over __\( F \)__ of characteristic __\( p \)__,”
Bull. Am. Math. Soc.
40 : 8
(1934),
pp. 625–631.
An abstract was published in *Bull. Am. Math. Soc.* **40**:3 (1934).
MR
1562919
Zbl
0010.00402
article

On cyclic fields,” Trans. Am. Math. Soc. 37 : 3 (1935), pp. 454–462. MR 1501797 JFM 61.0124.02 Zbl 0011.29005 article

: “On the construction of Riemann matrices. II,” Ann. Math. (2) 36 : 2 (April 1935), pp. 376–394. MR 1503230 JFM 61.1037.02 Zbl 0011.38904 article

: “Involutorial simple algebras and real Riemann matrices,”
Ann. Math. (2)
36 : 4
(October 1935),
pp. 886–964.
See also *Proc. Natl. Acad. Sci. U.S.A.* **20**:12 (1934).
MR
1503260
JFM
61.1038.01
Zbl
0012.39102
article

Normal division algebras of degree __\( p^e \)__ over __\( F \)__ of characteristic __\( p \)__,”
Trans. Am. Math. Soc.
39 : 1
(January 1936),
pp. 183–188.
MR
1501840
JFM
62.0101.01
Zbl
0013.10202
article

Simple algebras of degree __\( p^e \)__ over a centrum of characteristic __\( p \)__,”
Trans. Am. Math. Soc.
40 : 1
(July 1936),
pp. 112–126.
An abstract was published in *Bull. Am. Math. Soc.* **41**:7 (1935).
MR
1501866
JFM
62.0101.02
Zbl
0014.29102
article

__\( p \)__-algebras over a field generated by one indeterminate,”
Bull. Am. Math. Soc.
43 : 10
(1937),
pp. 733–736.
MR
1563627
JFM
63.0875.01
Zbl
0017.24501
article

On cyclic algebras,” Ann. Math. (2) 39 : 3 (July 1938), pp. 669–682. MR 1503431 JFM 64.0082.02 Zbl 0019.24601 article

: “Non-cyclic algebras with pure maximal subfields,” Bull. Am. Math. Soc. 44 : 8 (1938), pp. 576–579. MR 1563796 JFM 64.0082.01 Zbl 0019.19302 article

: “Structure of algebras. AMS Colloquium Publications 24. American Mathematical Society (Providence, RI), 1939. MR 0000595 Zbl 0023.19901 book

:On ordered algebras,” Bull. Am. Math. Soc. 46 (1940), pp. 521–522. MR 0001972 JFM 66.0114.01 Zbl 0061.05502 article

: “The radical of a non-associative algebra,” Bull. Am. Math. Soc. 48 (1942), pp. 891–897. MR 0007396 Zbl 0061.05001 article

: “Non-associative algebras. I: Fundamental concepts and isotopy,” Ann. Math. (2) 43 : 4 (October 1942), pp. 685–707. MR 0007747 Zbl 0061.04807 article

: “Quasigroups. I,” Trans. Am. Math. Soc. 54 (1943), pp. 507–519. MR 0009962 Zbl 0063.00039 article

: “Two element generation of a separable algebra,” Bull. Am. Math. Soc. 50 (1944), pp. 786–788. MR 0011080 Zbl 0061.05501 article

: “On Jordan algebras of linear transformations,” Trans. Am. Math. Soc. 59 (1946), pp. 524–555. MR 0016759 Zbl 0061.05101 article

: “Absolute valued real algebras,” Ann. Math. (2) 48 : 2 (April 1947), pp. 495–501. MR 0020550 Zbl 0029.01001 article

: “A structure theory for Jordan algebras,” Ann. Math. (2) 48 : 3 (July 1947), pp. 546–567. MR 0021546 Zbl 0029.01003 article

: “On the power-associativity of rings,” Summa Brasil. Math. 2 : 2 (1948), pp. 21–32. MR 0026044 Zbl 0039.26403 article

: “Absolute-valued algebraic algebras,” Bull. Am. Math. Soc. 55 : 8 (1949), pp. 763–768. MR 0030941 Zbl 0033.34901 article

: “A note on the exceptional Jordan algebra,” Proc. Nat. Acad. Sci. U. S. A. 36 : 7 (July 1950), pp. 372–374. MR 0035753 Zbl 0037.15904 article

: “A theory of power-associative commutative algebras,” Trans. Am. Math. Soc. 69 : 3 (November 1950), pp. 503–527. MR 0038959 Zbl 0039.26501 article

: “On nonassociative division algebras,” Trans. Am. Math. Soc. 72 (1952), pp. 296–309. MR 0047027 Zbl 0046.03601 article

: “On simple alternative rings,” Can. J. Math. 4 : 2 (1952), pp. 129–135. MR 0048420 Zbl 0046.25403 article

: “Simple Lie algebras of characteristic __\( p \)__,”
Rend. Sem. Mat. Univ. Politec. Torino
14
(1954/1955),
pp. 117–139.
MR
0079222
Zbl
0065.26801
article

On matrices of trace zero,” Michigan Math. J. 4 : 1 (1957), pp. 1–3. MR 0083961 Zbl 0077.24304 article

: “On reduced exceptional simple Jordan algebras,” Ann. Math. (2) 66 : 3 (November 1957), pp. 400–417. MR 0088487 Zbl 0079.04604 article

: “A construction of exceptional Jordan division algebras,” Ann. Math. (2) 67 : 1 (January 1958), pp. 1–28. MR 0091946 Zbl 0079.04701 article

: “Two-element generation of the projective unimodular group,” Ill. J. Math. 3 : 3 (1959), pp. 421–439. MR 0106951 Zbl 0098.02302 article

: “On a homomorphism property of certain Jordan algebras,” Trans. Am. Math. Soc. 93 (1959), pp. 20–29. MR 0108524 Zbl 0089.02001 article

: “On the collineation groups of certain non-desarguesian planes,” Port. Math. 18 (1959), pp. 207–224. MR 0130613 Zbl 0099.15203 article

: “Finite division algebras and finite planes,” pp. 53–70 in Combinatorial analysis (Columbia University, New York, April 24–26, 1958). Edited by R. E. Bellman and M. Hall, Jr. Proceedings of Symposia in Applied Mathematics 10. American Mathematical Society (Providence, RI), 1960. MR 0116036 Zbl 0096.15003 incollection

: “Generalized twisted fields,” Pac. J. Math. 11 : 1 (1961), pp. 1–8. MR 0122850 Zbl 0154.27203 article

: “On involutorial associative division algebras,” Scripta Math. 26 (1963), pp. 309–316. MR 0179202 Zbl 0147.28702 article

: “On associative division algebras of prime degree,” Proc. Am. Math. Soc. 16 (1965), pp. 799–802. MR 0179203 Zbl 0135.07402 article

: “On exceptional Jordan division algebras,” Pac. J. Math. 15 : 2 (1965), pp. 377–404. MR 0182647 Zbl 0135.07202 article

: “New results on associative division algebras,” J. Algebra 5 : 1 (January 1967), pp. 110–132. MR 0202757 Zbl 0144.02503 article

: “On associative division algebras,” Bull. Am. Math. Soc. 74 (1968), pp. 438–454. Retiring Presidential Address delivered at the 74th annual meeting of the AMS on January 23, 1967, in San Francisco. MR 0222114 Zbl 0157.08001 article

: “A note on certain cyclic algebras,” J. Algebra 14 : 1 (September 1970), pp. 70–72. MR 0251066 Zbl 0186.06901 article

: “Tensor products of quaternion algebras,” Proc. Am. Math. Soc. 35 : 1 (September 1972), pp. 65–66. MR 0297803 Zbl 0263.16012 article

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