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Publicação
Automorphisms of endomorphism monoids of 1-Simple free algebras
Autores
Orientador(es)
Resumo(s)
For any set X and any variety V of algebras, let A = A_V(X) be the free algebra in V with set X of free generators, and let End(A) be the monoid of endomorphisms of A. We provide a general approach to the description of the automorphism group of End(A), and some subsemigroups of End(A), provided that A is 1-simple. We show that every automorphism of End(A) is a unique extension of an automorphism of the monoid of endomorphisms of rank at most 1.
Descrição
Palavras-chave
Automorphisms Endomorphisms Free Independent Monoids Simple Universal algebras
Contexto Educativo
Citação
Konieczny, Janusz; Araújo, João - Automorphisms of endomorphism monoids of 1-Simple free algebras. "Communications in Algebra" [Em linha]. ISSN 0092-7872 (Print) 1532-4125 (Online). Vol. 37, nº 1 (2011), p. 83-94
Editora
Taylor & Francis