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On embedding countable sets of endomorphisms
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Orientador(es)
Resumo(s)
Sierpi´nski proved that every countable set of mappings on an infinite set X is
contained in a 2-generated subsemigroup of the semigroup of all mappings on X. In this
paper we prove that every countable set of endomorphisms of an algebra A which has an
infinite basis (independent generating set) is contained in a 2-generated subsemigroup of
the semigroup of all endomorphisms of A.
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Contexto Educativo
Citação
Araújo, João; Mitchell, James D.; Silva, Nuno - On embedding countable sets of endomorphisms. "Algebra Universalis" [Em linha]. ISSN 0002-5240 (Print) 1420-8911 (Online). Vol. 50 (2003), p. 1-6