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 P RE (X, X') be the semigroup under composition of all regressive transformations from a subset of X into X'. Moreover, T RE (X,X')={α ∈P RE (X,X'):dom α=X}. In 2012, C. Namnak and E. Laysirikul [3]...
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| Format: | Journal |
| Published: |
2017
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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/6653943832/42328 |
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| Institution: | Chiang Mai University |
| Summary: | © 2016 Academic Publications, Ltd. Let X' be a subposet of a poset X. Define P RE (X, X') be the semigroup under composition of all regressive transformations from a subset of X into X'. Moreover, T RE (X,X')={α ∈P RE (X,X'):dom α=X}. In 2012, C. Namnak and E. Laysirikul [3] investigated the Green's relations on T RE (X) = T RE (X, X). Now, we aim to extend the result of them by study the Green's relations on the semigroups T RE (X, X') and P RE (X, X'). |
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