ANTISYMMETRIC ELEMENTS IN GROUP RINGS II
Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
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Data(s) |
20/10/2012
20/10/2012
2009
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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 |
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 |