Perspectives in Ring Theory

This proceedings is composed of the papers resulting from the NATO work-shop "Perspectives in Ring Theory" and the work-shop "Geometry and Invariant The­ ory of Representations of Quivers" . Three reports on problem sessions have been induced in the part corresponding to the work...

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Bibliographic Details
Other Authors: Van Oystaeyen, Freddy (Editor), Bruyn, Lieven le (Editor)
Format: eBook
Published: Dordrecht Springer Netherlands 1988, 1988
Edition:1st ed. 1988
Series:Nato Science Series C:, Mathematical and Physical Sciences
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • I. Work-Shop: Geometry and Invariant Theory of Quivers
  • Deformations of Tilting Modules
  • Rational Invariants of Quivers and the Ring of Matrix Invariants
  • The Hilbert Series of Matrix Concomitants and its Application
  • A Theorem on Invariants of Semi-simple Lie Algebras
  • Deformations of Algebras and Hochschild Cohomology
  • Report and Open Questions from a Work-shop on Geometry and Invariant Theory of Quivers
  • II. Work-Shop: Perspectives in Ring Theory
  • Automorphisms of Generic 2 × 2 Matrices
  • An Example in Central Division Algebras
  • Cohomologie Localte et Cohomologie d’Algèbres de Lie
  • Noncommutative Valuation Rings
  • On Hopf Galois Extensions of Fields and Number Rings
  • The Brauer Long Group of ?/2? Dimodule Algebras
  • On the Brauer Group and the Cup Product Map
  • Group Actions on Module-finite Rings
  • Algebraic Conjugacy Classes and Skew Polynomial Rings
  • On the Gelfand-Kirillov Dimension of Normal Localizations and Twisted Polynomial Rings
  • Goldie Ranks of Prime Polycyclic Crossed Products
  • The Gelfand-Kirillov Dimension of Poincaré-Birkhof-Witt Extensions
  • The Nulstellensatz and Generic Flatness
  • Gelfand-Kirillov Dimension, Hilbert-Samuel Polynomials and Rings of Differential Operators
  • Gabriel-Popescu Type Theorems and Graded Modules
  • Crossed Products of Hopf Algebras and Eveloping Algebras
  • Progress on Some Problems about Group Actions
  • A Note on the P.I. Property of Semigroup Algebras
  • Invariant Fields of Linear Groups and Division Algebras
  • Group Graded Rings, Smash Products and Additive Categories
  • Reflexive Auslauder-Reiten Sequences
  • Noncommutative Invariant Theory
  • The Brauer-Severi Scheme of the Trace Ring of Generic Matrices
  • Some Problems on Associative Rings
  • Dubrovin Valuation Rings
  • Special Monomial Algebras ofFinite Global Dimension
  • Index of Definitions