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
Any de publicació: 2013
Volum: 61
Número: 9
Pàgines: 1280-1286
Tipus: Article
Altres publicacions en: Linear and Multilinear Algebra
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Resum
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.