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: | , |
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| Format: | Journal |
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2019
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| 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 |
| Summary: | © 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. |
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