Z2-Quasialgebras

  1. Albuquerque, H. 1
  2. Elduque, A. 1
  3. Pérez-Izquierdo, J.M. 1
  1. 1 Universidade de Coimbra
    info

    Universidade de Coimbra

    Coímbra, Portugal

    ROR https://ror.org/04z8k9a98

Revista:
Communications in Algebra

ISSN: 0092-7872

Año de publicación: 2002

Volumen: 30

Número: 5

Páginas: 2161-2174

Tipo: Artículo

DOI: 10.1081/AGB-120003462 SCOPUS: 2-s2.0-0036587464 WoS: WOS:000176138500005 GOOGLE SCHOLAR

Otras publicaciones en: Communications in Algebra

Resumen

The structure of G-graded quasialgebras, introduced in[1], is studied for the simplest nontrivial group: G = ℤ2. The resulting notion is a class of ℤ2-graded algebras A = A0̄ ⊕ A1̄ which are either associative or satisfy the "antiassociative condition" (xy)z = (-1)x̄ȳz̄ x(yz) for homogeneous elements. A full description is given in case A0̄ is semisimpte and A1̄ is a unital A0̄-bimodule.