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E-local pseudovarieties
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Resumo(s)
Generalizingapropertyofthepseudovarietyofallaperiodicsemi- groups observed by Tilson, we call E-local a pseudovariety V which satisfies the following property: for a finite semigroup, the subsemigroup generated by its idempotents belongs to V if and only if so do the subsemigroups generated by the idempotents in each of its regular D-classes. In this paper, we present sev- eral sufficient or necessary conditions for a pseudovariety to be E-local or for a pseudoidentity to define an E-local pseudovariety. We also determine several examples of the smallest E-local pseudovariety containing a given pseudovariety.
Descrição
Palavras-chave
Pseudovariety DA Subsemigroup generated by its idempotents Regular D-classes Regular D-classes
Contexto Educativo
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Editora
Springer Verlag