Superalgebras with superinvolution whose symmetric or skewsymmetric elements are regular
- Laliena, J. 1
- Rizzo, R. 2
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1
Universidad de La Rioja
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2
University of Salento
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ISSN: 0308-1087
Year of publication: 2013
Volume: 61
Issue: 9
Pages: 1280-1286
Type: Article
More publications in: Linear and Multilinear Algebra
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Abstract
We study semiprime superalgebras with superinvolution whose symmetric elements are not zero divisors, and semiprime superalgebras with superinvolution, with nonzero odd part, whose skewsymmetric elements are not zero divisors. We prove that, in both cases, such superalgebras are a domain or the subdirect sum of a domain and its opposite. © 2013 Copyright Taylor and Francis Group, LLC.