POLYNOMIAL AND GROUP IDENTITIES IN ALTERNATIVE LOOP ALGEBRAS
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
20/10/2012
20/10/2012
2008
|
| Resumo |
We investigate polynomial identities on an alternative loop algebra and group identities on its (Moufang) unit loop. An alternative loop ring always satisfies a polynomial identity, whereas whether or not a unit loop satisfies a group identity depends on factors such as characteristic and centrality of certain kinds of idempotents. FAPESP of Brasil Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Instituto de Matematica e Estatistica of the Universidade de Sao Paulo (USP) Instituto de Matematica e Estatistica of the Universidade de Sao Paulo (USP) Natural Sciences and Engineering Research Council of Canada Natural Sciences and Engineering Research Council of Canada Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) FAPESP[2005/60411-8] Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) CNPq[300243/79-0] |
| Identificador |
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v.7, n.5, p.593-599, 2008 0219-4988 http://producao.usp.br/handle/BDPI/30627 10.1142/S0219498808002989 |
| 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 | #Polynomial identity #group identity #alternative loop ring #Moufang loop of units #CENTRAL IDEMPOTENTS #GROUP-RINGS #UNITS #Mathematics, Applied #Mathematics |
| Tipo |
article original article publishedVersion |
