Rings, Extensions, and Cohomology (eBook, PDF)

Redaktion: Magid, Andy R.

• Format: PDF

Produktbeschreibung

"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."

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 264
• Erscheinungstermin: 10. September 2020
• Englisch
• ISBN-13: 9781000116816
• Artikelnr.: 60122167

Autorenporträt

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.

Inhaltsangabe

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.