Green's relations on semigroups of regressive transformations with restricted range
© 2016 Academic Publications, Ltd. Let X' be a subposet of a poset X. Define PRE(X, X') be the semigroup under composition of all regressive transformations from a subset of X into X'. Moreover, TRE(X,X')={α ∈PRE(X,X'):dom α=X}. In 2012, C. Namnak and E. Laysirikul [3] inves...
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th-cmuir.6653943832-559712018-09-05T03:06:42Z Green's relations on semigroups of regressive transformations with restricted range Kritsada Sangkhanan Mathematics © 2016 Academic Publications, Ltd. Let X' be a subposet of a poset X. Define PRE(X, X') be the semigroup under composition of all regressive transformations from a subset of X into X'. Moreover, TRE(X,X')={α ∈PRE(X,X'):dom α=X}. In 2012, C. Namnak and E. Laysirikul [3] investigated the Green's relations on TRE(X) = TRE(X, X). Now, we aim to extend the result of them by study the Green's relations on the semigroups TRE(X, X') and PRE(X, X'). 2018-09-05T03:06:42Z 2018-09-05T03:06:42Z 2016-01-01 Journal 13143395 13118080 2-s2.0-84976417351 10.12732/ijpam.v108i2.19 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84976417351&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55971 |
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Mathematics |
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Mathematics Kritsada Sangkhanan Green's relations on semigroups of regressive transformations with restricted range |
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© 2016 Academic Publications, Ltd. Let X' be a subposet of a poset X. Define PRE(X, X') be the semigroup under composition of all regressive transformations from a subset of X into X'. Moreover, TRE(X,X')={α ∈PRE(X,X'):dom α=X}. In 2012, C. Namnak and E. Laysirikul [3] investigated the Green's relations on TRE(X) = TRE(X, X). Now, we aim to extend the result of them by study the Green's relations on the semigroups TRE(X, X') and PRE(X, X'). |
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Journal |
| author |
Kritsada Sangkhanan |
| author_facet |
Kritsada Sangkhanan |
| author_sort |
Kritsada Sangkhanan |
| title |
Green's relations on semigroups of regressive transformations with restricted range |
| title_short |
Green's relations on semigroups of regressive transformations with restricted range |
| title_full |
Green's relations on semigroups of regressive transformations with restricted range |
| title_fullStr |
Green's relations on semigroups of regressive transformations with restricted range |
| title_full_unstemmed |
Green's relations on semigroups of regressive transformations with restricted range |
| title_sort |
green's relations on semigroups of regressive transformations with restricted range |
| publishDate |
2018 |
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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84976417351&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55971 |
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