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

Revista:
Linear and Multilinear Algebra

ISSN: 0308-1087

Año de publicación: 2013

Volumen: 61

Número: 9

Páginas: 1280-1286

Tipo: Artículo

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

Otras publicaciones en: Linear and Multilinear Algebra

Proyectos relacionados

Álgebras, triples y lazos relacionados con Geometría y Supermetría

2011/00007/001

Resumen

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.