Dense relations are determined by their endomorphism monoids

Araújo, João; Konieczny, Janusz

http://hdl.handle.net/10400.2/3805

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Authors

Araújo, João

Konieczny, Janusz

Abstract(s)

We introduce the class of dense relations on a set X and prove that for any finitary or infinitary dense relation ρ on X , the relational system (X, ρ) is determined up to semi-isomorphism by the monoid End (X, ρ) of endomorphisms of (X, ρ). In the case of binary relations, a semi-isomorphism is an isomorphism or an anti-isomorphism.

URI

http://hdl.handle.net/10400.2/3805

Citation

Araújo, João; Konieczny, Janusz - Dense relations are determined by their endomorphism monoids. "Semigroup Forum" [Em linha]. ISSN 0037-1912 (Print) 1432-2137 (Online). Vol. 70, nº 2 (2005), p. 1-4