Representations of Generalized Almost-Jordan Algebras
Author
dc.contributor.author
Flores, Marcelo
Author
dc.contributor.author
Labra Jeldres, Alicia
Admission date
dc.date.accessioned
2015-08-25T02:47:22Z
Available date
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2015-08-25T02:47:22Z
Publication date
dc.date.issued
2015
Cita de ítem
dc.identifier.citation
Communications in Algebra Volumen: 43 Número: 8 Páginas: 3372-3381
en_US
Identifier
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0092-7872
Identifier
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DOI: 10.1080/00927872.2014.918993
Identifier
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https://repositorio.uchile.cl/handle/2250/133098
General note
dc.description
Artículo de publicación ISI
en_US
Abstract
dc.description.abstract
This paper deals with the variety of commutative algebras
satisfying the identity {(yx2)x − ((yx)x)x} +
{yx3 − ((yx)x)x} = 0
where , are scalars. These algebras appeared as one of the four fam-
ilies of degree four identities in Carini, Hentzel and Piacentini-Cattaneo
[6]. We give a characterization of representations and irreducible mod-
ules on these algebras. Our results require that the characteristic of the
ground field was different from 2, 3.