Celebratio Mathematica

A. Ranicki: “Dedicated to the memory of Desmond Sheiham (13th November 1974–25th March 2005),” pp. vii–viii in Noncommutative localization in algebra and topology (Edinburgh, 29–30 April 2002). Edited by A. Ranicki. London Mathematical Society Lecture Note Series 330. Cambridge University Press, 2006. MR 2222477 Zbl 1119.01320 incollection

D. Sheiham: “Universal localization of triangular matrix rings,” Proc. Am. Math. Soc. 134 : 12 (2006), pp. 3465–3474. Prepared posthumously by Andrew Ranicki and Aidan Schofield. MR 2240657 Zbl 1115.16010 article

Desmond Sheiham	Related
Aidan H. Schofield	Related

A. Ranicki and D. Sheiham: “Blanchfield and Seifert algebra in high-dimensional boundary link theory, I: Algebraic \( K \)-theory,” Geom. Topol. 10 : 3 (2006), pp. 1761–1853. Desmond Sheiham died 25 March 2005. This paper is dedicated to the memory of Paul Cohn and Jerry Levine. MR 2284050 Zbl 1125.19003 ArXiv math/0508405 article

The classification of high-dimensional \( \mu \)-component boundary links motivates decomposition theorems for the algebraic \( K \)-groups of the group ring \( A[F_{\mu}] \) and the noncommutative Cohn localization \( \Sigma^{-1}A[F_{\mu}] \), for any \( \mu \geq 1 \) and an arbitrary ring \( A \), with \( F_{\mu} \) the free group on \( \mu \) generators and \( \Sigma \) the set of matrices over \( A[F_{\mu}] \) which become invertible over \( A \) under the augmentation \( A[F_{\mu}] \to A \). Blanchfield \( A[F_{\mu}] \)-modules and Seifert \( A \)-modules are abstract algebraic analogues of the exteriors and Seifert surfaces of boundary links. Algebraic transversality for \( A[F_{\mu}] \)-module chain complexes is used to establish a long exact sequence relating the algebraic \( K \)-groups of the Blanchfield and Seifert modules, and to obtain the decompositions of \( K_*(A[F_{\mu}]) \) and \( K_*(\Sigma^{-1}A[F_{\mu}]) \) subject to a stable flatness condition on \( \Sigma^{-1}A[F_{\mu}] \) for the higher \( K \)-groups.

Desmond Sheiham	Related
Paul Moritz Cohn	Related
Jerome Paul Levine	Related

year	title	people

			clear

Andrew A. Ranicki

Complete Bibliography

Works connected to Desmond Sheiham

Filter the Bibliography List