Rings, Extensions, and Cohomology

by Andy R. Magid (Editor)

Overview

"Presenting the proceedings of a conference held recently at Northwestern University, Evanston, Illinois, on the occasion of the retirement of noted mathematician Daniel Zelinsky, this novel reference provides up-to-date coverage of topics in commutative and noncommutative ring extensions, especially those involving issues of separability, Galois theory, and cohomology."

Product Details

ISBN-13:	9781000153361
Publisher:	CRC Press
Publication date:	09/10/2020
Series:	Lecture Notes in Pure and Applied Mathematics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	264
File size:	9 MB

About the Author

ANDY R. MAGID is George Lynn Cross Research Professor of Mathematics at the University of Oklahoma, Norman. The coeditor of two volumes of conference proceedings and the author or coauthor of three books and over 60 research papers, Dr. Magid is a member of the Mathematical Association of America and an officer of the American Mathematical Society. His primary research interests are in abstract algebra, especially the theory of algebraic groups and discrete groups and the applications of the former in the study of the representation theory of the latter. He received the B.A. degree (1966) in mathematics from the University of California at Berkeley and the Ph.D. degree (1969) in mathematics from Northwestern University, Evanston, Illinois.

Table of Contents

Preface -- Contributors -- Daniel Zelinsky: An Appreciation /Andy R. Magid -- The Centralizer on H-Separable Skew Group Rings /Ricardo Alfaro and George Szeto -- Contributions of PI Theory to Azumaya Algebras /S. A. Amitsur -- Cocycles and Right Crossed Products /M. Beattie -- Engel-type Theorems for Lie Color Algebras /Jeffery Bergen and Piotr Grzeszczuk -- Constructing Maximal Commutative Subalgebras of Matrix Rings /William C. Brown -- Galois Extensions over Local Number Rings /Lindsay N. Childs -- Infinite Extensions of Simple Modules over Semisimple Lie Algebras /Randall P. Dahlberg -- Smoothing Coherent Torsion-free Sheaves /Amassa Fauntleroy -- Projective Covers and Quasi-Isomorphisms /Mark A. Goddard -- On Dihedral Algebras and Conjugate Splittings /Darrell E. Haile -- On H-Skew Polynomial Rings and Galois Extensions /Shuichi Ikehara and George Szeto -- Separability and the Jones Polynomial /Lars Kadison -- A Note on Grobner Bases and Reduced Ideals /T. Kambayashi -- Bicomplexes and Galois Cohomology /H. F. Kreimer -- Adjoining Idempotents /Andy R. Magid -- Separable Polynomials and Weak Henseliz.ations /Thomas McKenzie -- Faithful Representations of Lie Algebras over Power Series /Graydon Nelson -- Idealizers of Fractal Ideals in Free Group Algebras /Amnon Rosenmann -- Elements of Trace Zero in Central Simple Algebras /Myriam Rosset and Shmuel Rosset -- Canonical Modules and Factorality of Symmetric Algebras /Aron Simis, Bernd Ulrich, and Wolmer V. Vasconcelos -- Splitting Properties of Extensions of the Wedderburn Principal Theorem /Joseph A. Wehlen -- Index.

Editorial Reviews

Proceedings of a conference held in Evanston, Illinois, in August 1993. Topics include contributions of PI theory to Azumaya algebras, cocycles and right crossed products, Engel-type theorems for Lie color algebras, galois extensions of very local number rings, smoothing coherent torsion-fee sheaves, projective covers and quasi-isomorphisms, dihedral algebras and conjugate splittings, separability and the Jones polynomial, bicomplexes and galois cohomology, adjoining idempotents. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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