Groups, Rings And Group Rings

by Giambruno; Antonio

• ISBN13: 9781584885818
• ISBN10: 1584885815
• Format: Nonspecific Binding
• Copyright: 2006-01-20
• Publisher: Chapman & Hall/

Summary

This book is a collection of research papers and surveys on algebra that were presented at the Conference on Groups, Rings, and Group Rings held in Ubatuba, Brazil. This text familiarizes researchers with the latest topics, techniques, and methodologies in several branches of contemporary algebra. With extensive coverage, it examines broad themes from group theory and ring theory, exploring their relationship with other branches of algebra including actions of Hopf algebras, groups of units of group rings, combinatorics of Young diagrams, polynomial identities, growth of algebras, and more. Featuring international contributions, this book is ideal for mathematicians specializing in these areas.

Table of Contents

On fine gradings on central simple algebras	1	(10)
Eli Aljadeff
Darrell Haile
Michael Natapov
On observable module categories	11	(14)
Nicolas Andruskiewitsch
Walter R. Ferrer Santos
Group gradings on integral group rings	25	(8)
Yuri A. Bahturin
Michael M. Parmenter
Profinite graphs -- comparing notions	33	(10)
Gunther Bergauer
Wolfgang Herfort
Lie identities in symmetric elements in group rings: A survey	43	(14)
Osnel Broche Cristo
Manuel Ruiz Marin
Irreducible morphisms in subcategories	57	(16)
Gladys Chalom
Hector Merklen
Bol loops with a unique nonidentity commutator / associator	73	(8)
Orin Chein
Edgar G. Goodaire
Weil representations of symplectic groups	81	(10)
Gerald Cliff
David McNeilly
Gradings and graded identities for the upper triangular matrices over an infinite field	91	(14)
Onofrio M. Di Vincenzo
Plamen Koshlukov
Angela Valenti
Structure of some classes of repeated-root constacyclic codes over integers modulo 2m	105	(14)
Hai Q. Dinh
Units in noncommutative orders	119	(18)
Ann Dooms
Eric Jespers
Idempotents in group algebras and coding theory	137	(12)
Raul A. Ferraz
Valeria O. Luchetta
Cesar Polcino Milies
Finitely generated constants of free algebras	149	(6)
Vitor O. Ferreira
Lucia S.I. Murakami
Partial actions of groups on semiprime rings	155	(8)
Miguel Ferrero
Representations of affine Lie superalgebras	163	(10)
Vyacheslav Futorny
On algebras and superalgebras with linear codimension growth	173	(10)
Antonio Giambruno
Daniela La Mattina
Paola Misso
On spectra of group rings of finite abelian groups	183	(8)
Andre Gimenez Bueno
Michael Dokuchaev
Wedderburn decomposition of small rational group algebras	191	(10)
Carmen Rosa Giraldo Vergara
Some questions on skewfields	201	(4)
Jairo Z. Goncalves
On the role of rings and modules in algebraic coding theory	205	(12)
Marcus Greferath
Sergio R. Lopez-Permouth
Semiperfect rings with T-nilpotent prime radical	217	(16)
Nadiya M. Gubareni
Vladimir V. Kirichenko
The structure of the baric algebras	233	(10)
Henrique Guzzo, Jr.
On torsion units of integral group rings of groups of small order	243	(10)
Christian Hofert
Wolfgang Kimmerle
On a conjecture of Zassenhaus for metacyclic groups	253	(10)
Stanley O. Juriaans
Sudarshan K. Sehgal
Nilpotent blocks revisited	263	(12)
Burkhard Kulshammer
Decomposition of central units of integral group rings	275	(4)
Yuanlin Li
Michael M. Parmenter
Generic units in ZC	279	(8)
Zbigniew Marciniak
Sudarshan K. Sehgal
On quasi-Frobenius semigroup algebras	287	(6)
Boris V. Novikov
Twisted loop algebras and Galois cohomology	293	(12)
Arturo Pianzola
Presentation of the group of units of ZD16	305	(10)
Antonio Pita
Angel del Rio
Engel theorem for Jordan superalgebras	315	(6)
Ivan Shestakov
Konstantin Okunev
A characterization of centre-by-finite subgroups of division algebras	321	(10)
Mazi Shirvani
Isomorphic rational group algebras	331	(8)
Ana Cristina Vieira
Guilherme Leal
Index	339