NORMALITY OF f-UNITARY UNITS IN AN ALTERNATIVE LOOP RING

Autor(es)

Goodaire, Edgar G. ; Milies, Cesar Polcino

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. 5, n. 4, p. 537-548, AUG 2006.
• Citações Web of Science: 1

Resumo

Let L be an RA loop, that is, a loop whose loop ring in any characteristic is an alternative, but not associative, ring. Let f : L ->[+/- 1] be a homomorphism and for alpha = Sigma alpha(l)l in the integral loop ring ZL, define alpha(f) = Sigma alpha(l)f(l)l(-1). A unit u is an element of ZL is said to be f-unitary if u(f) = +/- u(-1). The set U-f (ZL) of all f-unitary units is a subloop of U(ZL), the loop of all units in ZL. In this paper, we find necessary and sufficient conditions for U-f (ZL) to be normal in U(ZL). (AU)

• Processo FAPESP: 00/07291-0 - Anéis de grupo e tópicos relacionados
• Beneficiário: Francisco Cesar Polcino Milies
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 04/00866-9 - Edgar George Goodaire | Memorial University Newfoundland - Canadá
• Beneficiário: Francisco Cesar Polcino Milies
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional