Please use this identifier to cite or link to this item: http://hdl.handle.net/10362/5529
Title: Automorphisms of partial endomorphism semigroups
Authors: Fernandes, Vítor H.
Araújo, J.
Jesus, Manuel M.
Maltcev, V.
Mitchell, J. D.
Keywords: Automorphisms
Endomorphism semigroups
Relations
Issue Date: 2009
Publisher: Institute of Mathematics, University of Debrecen
Abstract: In this paper we propose a general recipe for calculating the automorphism groups of semigroups consisting of partial endomorphisms of relational structures with a single m-ary relation for any m 2 N over a finite set. We use this recipe to determine the automorphism groups of the following semigroups:the full transformation semigroup, the partial transformation semigroup, and the symmetric inverse semigroup, and their wreath products, partial endomorphisms of partially ordered sets, the full spectrum of semigroups of partial mappings preserving or reversing a linear or circular order. We also determine the automorphism groups of the so-called Madhaven semigroups as an application of the methods developed herein.
Description: Publicationes Mathematicae Debrecen
URI: http://hdl.handle.net/10362/5529
ISSN: 0033-3883
Appears in Collections:FCT: DM - Artigos em revista internacional com arbitragem científica

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