Superalgebras with superinvolution whose symmetric or skewsymmetric elements are regular

  1. Laliena, J. 1
  2. Rizzo, R. 2
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 University of Salento
    info

    University of Salento

    Lecce, Italia

    ROR https://ror.org/03fc1k060

Zeitschrift:
Linear and Multilinear Algebra

ISSN: 0308-1087

Datum der Publikation: 2013

Ausgabe: 61

Nummer: 9

Seiten: 1280-1286

Art: Artikel

DOI: 10.1080/03081087.2012.746333 SCOPUS: 2-s2.0-84883394887 WoS: WOS:000323633400009 GOOGLE SCHOLAR

Andere Publikationen in: Linear and Multilinear Algebra

Projekte im Zusammenhang

Álgebras, triples y lazos relacionados con Geometría y Supermetría

2011/00007/001

Zusammenfassung

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.