ANTISYMMETRIC ELEMENTS IN GROUP RINGS II


Autoria(s): CRISTO, Osnel Broche; JESPERS, Eric; MILIES, Cesar Polcino; MARIN, Manuel Ruiz
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

20/10/2012

20/10/2012

2009

Resumo

Let R be a commutative ring, G a group and RG its group ring. Let phi : RG -> RG denote the R-linear extension of an involution phi defined on G. An element x in RG is said to be phi-antisymmetric if phi(x) = -x. A characterization is given of when the phi-antisymmetric elements of RG commute. This is a completion of earlier work.

Onderzoeksraad of Vrije Universiteit Brussel

Onderzoeksraad of Vrije Universiteit Brussel

Fonds voor Wetenschappelijk Onderzoek (Vlaanderen)

Fonds voor Wetenschappelijk Onderzoek (Vlaanderen)

Flemish-Polish bilateral agreement

Flemish-Polish bilateral agreement[BIL 01/31]

Fundação de Amparo à Pesquisa do Estado de Minas Gerais (FAPEMIG)

FAPEMIG

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

CNPq[300243/79-0(RN)]

D. G. I. of Spain

D. G. I. of Spain

Fundacion Seneca of Region de Murcia

Fundacion Seneca of Region de Murcia

Identificador

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v.8, n.1, p.115-127, 2009

0219-4988

http://producao.usp.br/handle/BDPI/30597

http://apps.isiknowledge.com/InboundService.do?Func=Frame&product=WOS&action=retrieve&SrcApp=EndNote&UT=000263879700007&Init=Yes&SrcAuth=ResearchSoft&mode=FullRecord

Idioma(s)

eng

Publicador

WORLD SCIENTIFIC PUBL CO PTE LTD

Relação

Journal of Algebra and Its Applications

Direitos

restrictedAccess

Copyright WORLD SCIENTIFIC PUBL CO PTE LTD

Palavras-Chave #Involution #group ring #antisymmetric elements #SKEW-SYMMETRIC ELEMENTS #GROUP-ALGEBRAS #UNITARY UNITS #LIE-ALGEBRA #COMMUTATIVITY #Mathematics, Applied #Mathematics
Tipo

article

original article

publishedVersion