On Certain Semiprime Associative Superalgebras
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1
Universidad de La Rioja
info
ISSN: 0092-7872
Argitalpen urtea: 2009
Alea: 37
Zenbakia: 10
Orrialdeak: 3548-3552
Mota: Artikulua
Beste argitalpen batzuk: Communications in Algebra
Lotura duten proiektuak
Laburpena
In this note we emphasise the relationship between the structure of an associative superalgebra with superinvolution and the structure of the Lie substructure of skewsymmetric elements. More explicitly, we show that if A is a semiprime associative superalgebra with superinvolution and K is the Lie superalgebra of skewsymmetric elements satisfying [K<sup>2</sup>, K<sup>2</sup>] = 0, then A is a subdirect product of orders in simple superalgebras each at most 4-dimensional over its center