The derived superalgebra of skew elements of a semiprime superalgebra with superinvolution
Rings and Algebras
2013-07-12 v1
Abstract
In this paper we investigate the Lie structure of the derived Lie superalgebra [K, K], with K the set of skew elements of a semiprime associative superalgebra A with superinvolution. We show that if U is a Lie ideal of [K, K], then either there exists an ideal J of A such that the Lie ideal [J \cap K,K] is nonzero and contained in U, or A is a subdirect sum of A', A'', where the image of U in A' is central, and A'' is a subdirect product of orders in simple superalgebras, each at most 16-dimensional over its center.
Keywords
Cite
@article{arxiv.1307.3163,
title = {The derived superalgebra of skew elements of a semiprime superalgebra with superinvolution},
author = {Jesus Laliena},
journal= {arXiv preprint arXiv:1307.3163},
year = {2013}
}
Comments
arXiv admin note: substantial text overlap with arXiv:math/0701357