Tópicos de álgebras alternativas / Topics in Alternative Algebras
AUTOR(ES)
Marcos Munhoz
DATA DE PUBLICAÇÃO
2007
RESUMO
We studied some aspects of alternative algebras, in special the bar radical of an alternative baric algebra and identities of degree 4 and 5 of Cayley-Dickson algebras. We made significant use of the Peirce decomposition and several properties of the alternative algebras, in order to show that the only identities of degree four are the trivial ones, and the identities of degree five are consequences of other two known identities.
ASSUNTO(S)
bar-radical baric algebras álgebra de cayley-dickson identidades Álgebras alternativas identities decomposição de peirce alternative algebras peirce decomposition quaternion algebras bar-radical álgebras báricas álgebra dos quatérnios cayley-dickson algebras
