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Lie structure in semiprime superalgebras with superinvolution
- Source :
-
Journal of Algebra . Sep2007, Vol. 315 Issue 2, p751-760. 10p. - Publication Year :
- 2007
-
Abstract
- Abstract: In this paper we investigate the Lie structure of the Lie superalgebra K of skew elements of a semiprime associative superalgebra A with superinvolution. We show that if U is a Lie ideal of K, then either there exists an ideal J of A such that the Lie ideal is nonzero and contained in U, or A is a subdirect sum of , , where the image of U in is central, and is a subdirect product of orders in simple superalgebras, each at most 16-dimensional over its center. [Copyright &y& Elsevier]
- Subjects :
- *NONASSOCIATIVE algebras
*ALGEBRA
*SUPERALGEBRAS
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 315
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 26246378
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2007.04.005