Álgebras bisseriais especiais / Special biserial algebras

AUTOR(ES)
FONTE

IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia

DATA DE PUBLICAÇÃO

27/02/2012

RESUMO

Special biserial algebras are a class of algebras that appear in many contexts. Butler and Ringel [6] made a description of indecomposable modules and irreducible morphisms of algebras string, a subclass of special biserial algebras. We show that special biserial algebras which are not string, have only one module projective-injective indecomposable for each binomial relation. We are present the Auslander-Reiten sequence in which these modules appear. Then we verify that the remainder of Auslander-Reiten quiver of special biserial algebras is obtained as done by Butler and Ringel [6] for string algebras. We conclude this work by applying the above results for the representations of the algebras of finite cyclic groups and algebras of the Klein group and diedral groups over algebraically closed field of characteristic 2.

ASSUNTO(S)

algebra quiver representação de álgebras strings Álgebras de grupo quiver representation of algebras strings group algebras

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