Rings, extensions, and cohomology : proceedings of the Conference on the Occasion of the Retirement of Daniel Zelinsky ; [papers delivered at a Conference on Rings, Extensions and Cohomology, held at Northwestern University, August 29 and 30, 1993

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. booknews 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) Cover ......Page 1 Half Title ......Page 2 Title Page ......Page 8 Copyright Page ......Page 9 Preface ......Page 10 Table of Contents ......Page 12 Contributors ......Page 14 Daniel Zelinsky: An Appreciation......Page 16 The Centralizer on H-Separable Skew Group Rings......Page 22 Contributions of PI Theory to Azumaya Algebras......Page 30 Cocycles and Right Crossed Products ......Page 40 Engel-Type Theorems for Lie Color Algebras......Page 52 Constructing Maximal Commutative Subalgebras of Matrix Rings ......Page 56 Galois Extensions Over Local Number Rings......Page 62 Infinite Extensions of Simple Modules over Semisimple Lie Algebras ......Page 88 Smoothing Coherent Torsion-Free Sheaves......Page 108 Projective Covers and Quasi-Isomorphisms......Page 114 On Dihedral Algebras and Conjugate Splittings ......Page 128 On H-Skew Polynomial Rings and Galois Extensions......Page 134 Separability and the Jones Polynomial ......Page 144 A Note on Grӫbner Bases and Reduced Ideals......Page 160 Bicomplexes and Galois Cohomology ......Page 164 Adjoining Idempotents ......Page 176 Separable Polynomials and Weak Henselizations ......Page 186 Faithful Representations of Lie Algebras Over Power Series......Page 202 Idealizers of Fractal Ideals in Free Group Algebras ......Page 216 Elements of Trace Zero in Central Simple Algebras......Page 226 Canonical Modules and Factorality of Symmetric Algebras......Page 234 Splitting Properties of Extensions of the Wedderburn Principal Theorem ......Page 244 Index ......Page 262