Methods in Ring Theory

by Drensky; Vesselin

• ISBN13: 9780824701833
• ISBN10: 0824701836
• Format: Nonspecific Binding
• Copyright: 1998-03-27
• Publisher: CRC Press

Summary

Furnishes important research papers & results on group algebras & PI-algebras presented recently at the Conference on Methods in Ring Theory held in Levico Terme, Italy-familiarizing researchers with the latest topics, techniques, & methodologies encompassing contemporary algebra.

Table of Contents

Preface	iii
Contributors	vii
Identities of Algebras with Actions of Hopf Algebras	1	(36)
Yuri Bahturin
Consequences of Degree n + 2 of the Standard Polynomial of Degree n	37	(12)
Francesca Benanti
Vesselin Drensky
Generators of the Units of the Modular Group Algebra of a Finite p-Group	49	(14)
Adalbert Bovdi
Young Derivation of the Trace Cocharacters of the 2 x 2 Matrices	63	(12)
L. Carini
A. Regev
Torsion Subgroups of Units in Artinian Rings	75	(8)
Sonia P. Coelho
Cesar Polcino Milies
Polynomial Ideals and Identities of Matrices	83	(14)
Matyas Domokos
Gelfand-Kirillov Dimension of PI-Algebras	97	(18)
Vesselin Drensky
PI-Algebras and Codimension Growth	115	(6)
A. Giambruno
M. V. Zaicev
Unit Bases in Small Cyclic Group Rings	121	(20)
Klaus Hoechsmann
Units in Integral Group Rings: A Survey	141	(30)
Eric Jespers
On the Multilinear Components of the Regular Prime Varieties	171	(14)
Alexander Kemer
Units in Group Rings and Geometry	185	(14)
Zbigniew S. Marciniak
Sudarshan K. Sehgal
The Semiprimitivity of Group Algebras	199	(14)
D. S. Passman
Scale for Codimension Growth of Lie Algebras	213	(10)
V. M. Petrogradsky
The Hopf Shuffle Algebra and Lie Series	223	(6)
A. Pianzola
J. Valencia
Graded Identities and Cocharacters of Products of T-Ideals	229	(18)
Angel Popov
Deformations of Representations	247	(30)
C. Procesi
The Engel Condition, Semigroup Identities, and Collapsibility in Associative Rings	277	(10)
David M. Riley
Idempotent Ideals in Lie Nilpotent Rings	287	(6)
Jeno Szigeti
Units and Group Identities in Rings	293	(10)
A. Valenti
Varieties and Identities of Affine Kac-Moody Algebras	303
M. V. Zaicev