Generators for the semigroup of endomorphisms of an independence Algebra

Araújo, João

http://hdl.handle.net/10400.2/3814

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Authors

Araújo, João

Abstract(s)

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.

Keywords

Semigroups Independence algebras Endomorphisms Generators

URI

http://hdl.handle.net/10400.2/3814

Citation

Araújo, João - Generators for the semigroup of endomorphisms of an independence Algebra. "Algebra Colloquium" [Em linha]. ISSN 1005-3867 (Print) 0219-1733 (Online). Vol. 9, nº 4 (2002), p. 1-11