Natural Partial Orders on Transformation Semigroups with Fixed Sets
© 2016 Yanisa Chaiya et al. Let X be a nonempty set. 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 monoid under the composition of maps. In this paper, we characterize the natural partial order on Fix(X, Y) and this...
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th-cmuir.6653943832-559592018-09-05T03:06:36Z Natural Partial Orders on Transformation Semigroups with Fixed Sets Yanisa Chaiya Preeyanuch Honyam Jintana Sanwong Mathematics © 2016 Yanisa Chaiya et al. Let X be a nonempty set. 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 monoid under the composition of maps. In this paper, we characterize the natural partial order on Fix(X, Y) and this result extends the result due to Kowol and Mitsch. Further, we find elements which are compatible and describe minimal and maximal elements. 2018-09-05T03:06:36Z 2018-09-05T03:06:36Z 2016-01-01 Journal 16870425 01611712 2-s2.0-84985914603 10.1155/2016/2759090 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84985914603&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55959 |
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Mathematics Yanisa Chaiya Preeyanuch Honyam Jintana Sanwong Natural Partial Orders on Transformation Semigroups with Fixed Sets |
| description |
© 2016 Yanisa Chaiya et al. Let X be a nonempty set. 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 monoid under the composition of maps. In this paper, we characterize the natural partial order on Fix(X, Y) and this result extends the result due to Kowol and Mitsch. Further, we find elements which are compatible and describe minimal and maximal elements. |
| format |
Journal |
| author |
Yanisa Chaiya Preeyanuch Honyam Jintana Sanwong |
| author_facet |
Yanisa Chaiya Preeyanuch Honyam Jintana Sanwong |
| author_sort |
Yanisa Chaiya |
| title |
Natural Partial Orders on Transformation Semigroups with Fixed Sets |
| title_short |
Natural Partial Orders on Transformation Semigroups with Fixed Sets |
| title_full |
Natural Partial Orders on Transformation Semigroups with Fixed Sets |
| title_fullStr |
Natural Partial Orders on Transformation Semigroups with Fixed Sets |
| title_full_unstemmed |
Natural Partial Orders on Transformation Semigroups with Fixed Sets |
| title_sort |
natural partial orders on transformation semigroups with fixed sets |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84985914603&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55959 |
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1681424602619707392 |