Collected Works 2001; 615 pp; hardcover Volume: 16 ISBN10: 0821829254 ISBN13: 9780821829257 List Price: US$122 Member Price: US$97.60 Order Code: CWORKS/16.2
This item is also sold as part of the following set: CWORKS/16  A lead figure in twentieth century noncommutative algebra, S. A. Amitsur's contributions are wideranging and enduring. This volume collects almost all of his work. The papers are organized into broad topic areas: general ring theory, rings satisfying a polynomial identity, combinatorial polynomial identity theory, and division algebras. Included are essays by the editors on Amitsur's work in these four areas and a biography of Amitsur written by A. Mann. This volume makes a fine addition to any mathematics book collection. Readership Graduate students and research mathematicians interested in ring theory, combinatorial algebra, and number theory. Reviews "There is no doubt that the collected papers should help and inspire the reader to look at the topic even more deeply."  Mathematical Reviews "These volumes are a collection of short and very readable papers, which many working algebraists will want to own; they should certainly form part of every mathematics library."  Zentralblatt MATH Table of Contents Combinatoiral polynomial identity theory  Amitsur and combinatorial P.I. theory
 Minimal identities for algebras
 Remarks on minimal identities for algebras
 The identities of PIrings
 Identities and generators of matrix rings
 Identities and linear dependence
 On a central identity for matrix rings
 Alternating identities
 PIalgebras and their cocharacters
 The sequence of codimensions of PIalgebras
Division algebras  Amitsur and division algebras
 Contributions to the theory of central simple algebras
 La représentation d'algèbres centrales simples
 Construction d'algèbres centrales simples sur des corps de caractéristique zéro
 Noncommutative cyclic fields
 Differential polynomials and division algebras
 Generic splitting fields of central simple algebras
 Finite subgroups of division rings
 Some results on central simple algebras
 On arithmetic functions
 Simple algebras and cohomology groups of arbitrary fields
 Some results on arithmetic functions
 Finite dimensional central divison algebras
 Homology groups and double complexes for arbitrary fields
 On a lemma in elementary proofs of the prime number theorem
 Complexes of rings
 On central division algebras
 The generic division rings
 Generic abelian crossed products and \(p\)algebras
 Division algebras of degree 4 and 8 with involution
 On the characteristic polynomial of a sum of matrices
 Generic splitting fields. Brauer groups in ring theory and algebraic geometry.
 Extension of derivations to central simple algebras
 Kummer subfields of MalcevNeumann division algebras
 Symplectic modules
 Totally ramified splitting fields of central simple algebras over Henselian fields
 Galois splitting fields of a universal division algebra
 Elements of reduced trace 0
 Finitedimensional subalgebras of division rings
 Acknowledgment
