Z2-Quasialgebras
- Albuquerque, H. 1
- Elduque, A. 1
- Pérez-Izquierdo, J.M. 1
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1
Universidade de Coimbra
info
ISSN: 0092-7872
Año de publicación: 2002
Volumen: 30
Número: 5
Páginas: 2161-2174
Tipo: Artículo
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.