On semigroups of endomorphisms of a chain with restricted range
Let X be a finite or infinite chain and let {Mathematical expression} be the monoid of all endomorphisms of X. In this paper, we describe the largest regular subsemigroup of {Mathematical expression} and Green's relations on {Mathematical expression}. In fact, more generally, if Y is a nonempty...
Saved in:
| Main Authors: | , , , |
|---|---|
| 格式: | Article |
| 語言: | English |
| 出版: |
2014
|
| 在線閱讀: | http://www.scopus.com/inward/record.url?eid=2-s2.0-84887266823&partnerID=40&md5=b976cf83af907df491d5a861d23d66f8 http://cmuir.cmu.ac.th/handle/6653943832/7240 |
| 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 |
| 語言: | English |
| 總結: | Let X be a finite or infinite chain and let {Mathematical expression} be the monoid of all endomorphisms of X. In this paper, we describe the largest regular subsemigroup of {Mathematical expression} and Green's relations on {Mathematical expression}. In fact, more generally, if Y is a nonempty subset of X and {Mathematical expression} is the subsemigroup of {Mathematical expression} of all elements with range contained in Y, we characterize the largest regular subsemigroup of {Mathematical expression} and Green's relations on {Mathematical expression}. Moreover, for finite chains, we determine when two semigroups of the type {Mathematical expression} are isomorphic and calculate their ranks. © 2013 Springer Science+Business Media New York. |
|---|