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Beskrivning
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" .
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.
