Rings, Extensions, and Cohomology [Hardcover]

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. Covers topics in commutative and noncommutative ring extensions, especially those involving issues of separability, Galois theory, and cohomology.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. lCp