Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/14865

TitleSemigroups of transformations restricted by an equivalence
Author(s)Gonçalves, Suzana Mendes
Sullivan, R. P.
KeywordsTransformation semigroup
Equivalence
Green's relations
Ideals
Issue dateDec-2010
PublisherSpringer Verlag
Versita
JournalCentral European Journal of Mathematics
Abstract(s)Suppose sigma is an equivalence on a set X and let E(X,sigma) denote the semigroup (under composition) of all alpha:X->X such that alpha C alpha o alpha^-1. Here we characterise Green’s relations and ideals in E(X,sigma). This is analogous to recent work by Sullivan on K(V,W), the semigroup (under composition) of all linear transformations alpha of a vector space V such that W C ker alpha, where W is a fixed subspace of V.
TypeArticle
URIhttp://hdl.handle.net/1822/14865
DOI10.2478/s11533-010-0066-8
ISSN1895-1074
Publisher versionhttp://www.springerlink.com/content/1895-1074/8/6/
Peer-Reviewedyes
AccessRestricted access (UMinho)
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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