Generators for the semigroup of endomorphisms of an independence Algebra

Given an independence algebra A of infinite rank, we denote the endomorphism monoid and the automorphism group of A by End(A)and Aut(A) respectively. This paper is concerned with finding minimal subsets R of End(A) such that Aut(A) [ E(End(A)) [ R is a generating set for End(A), where E(End(A)) deno...

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Detalhes bibliográficos
Autor principal: Araújo, João (author)
Formato: article
Idioma:por
Publicado em: 2015
Assuntos:
Texto completo:http://hdl.handle.net/10400.2/3814
País:Portugal
Oai:oai:repositorioaberto.uab.pt:10400.2/3814
Descrição
Resumo:Given an independence algebra A of infinite rank, we denote the endomorphism monoid and the automorphism group of A by End(A)and Aut(A) respectively. This paper is concerned with finding minimal subsets R of End(A) such that Aut(A) [ E(End(A)) [ R is a generating set for End(A), where E(End(A)) denotes its set of idempotents.