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We study semiprime superalgebras with superinvolution whose symmetric or skewsymmetric elements are assumed to be regular or nilpotent, and superalgebras in which xx* = 0 implies x*x = 0. [ABSTRACT FROM AUTHOR]

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. [ABSTRACT FROM PUBLISHER]

Abstract: We study semiprime superalgebras with superinvolution, under certain additional regularity conditions. More precisely, we assume regularity conditions either on every nonzero homogeneous symmetric element, or on every nonzero homogeneous skewsymmetric element. [Copyright &y& Elsevier]