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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Preeyanuch Honyam | en_US |
| dc.contributor.author | Jintana Sanwong | en_US |
| dc.date.accessioned | 2018-09-04T09:31:47Z | - |
| dc.date.available | 2018-09-04T09:31:47Z | - |
| dc.date.issued | 2013-03-01 | en_US |
| dc.identifier.issn | 1727933X | en_US |
| dc.identifier.issn | 16073606 | en_US |
| dc.identifier.other | 2-s2.0-84876029745 | en_US |
| dc.identifier.other | 10.2989/16073606.2013.779958 | en_US |
| dc.identifier.uri | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84876029745&origin=inward | en_US |
| dc.identifier.uri | http://cmuir.cmu.ac.th/jspui/handle/6653943832/52762 | - |
| dc.description.abstract | Let T (X) denote the semigroup (under composition) of transformations from X into itself. For a fixed subset Y of X, let Fix(X, Y) be the set of all self-maps on X which fix all elements in Y. Then Fix(X, Y) is a regular subsemigroup of T (X). The aim of this paper is to determine the Green's relations and ideals of Fix(X, Y) and prove that Fix(X, Y) is never isomorphic to T (Z) for any set Z when ∅ ≠ Y ⊈ X. However, its rank is related to the rank of T (X\Y) and the cardinality of Y when X is a finite set. © 2013 Copyright NISC Pty Ltd. | en_US |
| dc.subject | Mathematics | en_US |
| dc.title | Semigroups of transformations with fixed sets | en_US |
| dc.type | Journal | en_US |
| article.title.sourcetitle | Quaestiones Mathematicae | en_US |
| article.volume | 36 | en_US |
| article.stream.affiliations | Chiang Mai University | en_US |
| Appears in Collections: | CMUL: Journal Articles | |
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