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...
Saved in:
| Main Authors: | , , |
|---|---|
| 格式: | 雜誌 |
| 出版: |
2018
|
| 主題: | |
| 在線閱讀: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84985914603&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55959 |
| 標簽: |
添加標簽
沒有標簽, 成為第一個標記此記錄!
|
| 機構: | Chiang Mai University |
| 總結: | © 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. |
|---|