Automorphisms of endomorphism semigroups of reflexive digraphs

Araújo, João; Dobson, Edward; Konieczny, Janusz

http://hdl.handle.net/10400.2/2006

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Authors

Araújo, João

Dobson, Edward

Konieczny, Janusz

Abstract(s)

A reflexive digraph is a pair (X,ρ), where X is an arbitrary set and ρ is a reflexive binary relation on X. Let End (X, ρ) be the semigroup of endomorphisms of (X, ρ). We determine the group of automorphisms of End(X,ρ) for: digraphs containing an edge not contained in a cycle, digraphs consisting of arbitrary unions of cycles such that cycles of length ≥ 2 are pairwise disjoint, and some circulant digraphs.

Keywords

Reflexive digraphs Circulant digraphs Endomorphism semigroups Automorphisms

URI

http://hdl.handle.net/10400.2/2006

Citation

Araújo, João; Dobson, Edward; Konieczny, Janusz - Automorphisms of endomorphism semigroups of reflexive digraphs. "Mathematische Nachrichten" [Em linha]. ISSN 0025-584X (Print) 1522-2616 (Online). Vol. 283, nº 7 (July 2010), p. 939-964

Publisher

WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

Collections

Matemática e Estatística | Artigos em revistas internacionais / Papers in international journals

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