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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| Format: | Journal |
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2018
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| Online Access: | 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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| Institution: | Chiang Mai University |
| Summary: | © 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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