Green’s relations and regularity for semigroups of transformations with restricted range that preserve double direction equivalence relations

© 2019 by the Mathematical Association of Thailand. All rights reserved. Let T(X) be the full transformation semigroup on a set X. For an equivalence E on X and a nonempty subset Y of X, let (Formula Presented). In this article, we give a necessary and sufficient condition for TE*(X, Y) to be a subs...

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Main Authors:	Utsithon Chaichompoo, Kritsada Sangkhanan
Format:	Journal
Published:	2019
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85071192427&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/66698
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-66698
record_format	dspace
spelling	th-cmuir.6653943832-666982019-09-16T12:55:33Z Green’s relations and regularity for semigroups of transformations with restricted range that preserve double direction equivalence relations Utsithon Chaichompoo Kritsada Sangkhanan Mathematics © 2019 by the Mathematical Association of Thailand. All rights reserved. Let T(X) be the full transformation semigroup on a set X. For an equivalence E on X and a nonempty subset Y of X, let (Formula Presented). In this article, we give a necessary and sufficient condition for TE(X, Y) to be a subsemigroup of T(X) under the composition of functions and study the regularity of TE(X, Y). Finally, we characterize Green’s relations on this semigroup. 2019-09-16T12:55:33Z 2019-09-16T12:55:33Z 2019-01-01 Journal 16860209 2-s2.0-85071192427 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85071192427&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/66698
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Utsithon Chaichompoo Kritsada Sangkhanan Green’s relations and regularity for semigroups of transformations with restricted range that preserve double direction equivalence relations
description	© 2019 by the Mathematical Association of Thailand. All rights reserved. Let T(X) be the full transformation semigroup on a set X. For an equivalence E on X and a nonempty subset Y of X, let (Formula Presented). In this article, we give a necessary and sufficient condition for TE(X, Y) to be a subsemigroup of T(X) under the composition of functions and study the regularity of TE(X, Y). Finally, we characterize Green’s relations on this semigroup.
format	Journal
author	Utsithon Chaichompoo Kritsada Sangkhanan
author_facet	Utsithon Chaichompoo Kritsada Sangkhanan
author_sort	Utsithon Chaichompoo
title	Green’s relations and regularity for semigroups of transformations with restricted range that preserve double direction equivalence relations
title_short	Green’s relations and regularity for semigroups of transformations with restricted range that preserve double direction equivalence relations
title_full	Green’s relations and regularity for semigroups of transformations with restricted range that preserve double direction equivalence relations
title_fullStr	Green’s relations and regularity for semigroups of transformations with restricted range that preserve double direction equivalence relations
title_full_unstemmed	Green’s relations and regularity for semigroups of transformations with restricted range that preserve double direction equivalence relations
title_sort	green’s relations and regularity for semigroups of transformations with restricted range that preserve double direction equivalence relations
publishDate	2019
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85071192427&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/66698
_version_	1681426503728889856

Green’s relations and regularity for semigroups of transformations with restricted range that preserve double direction equivalence relations

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