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...
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2014
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th-cmuir.6653943832-72402014-08-30T03:51:44Z On semigroups of endomorphisms of a chain with restricted range Fernandes V.H. Honyam P. Quinteiro T.M. Singha B. 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. 2014-08-30T03:51:44Z 2014-08-30T03:51:44Z 2013 Article in Press 00371912 10.1007/s00233-013-9548-x http://www.scopus.com/inward/record.url?eid=2-s2.0-84887266823&partnerID=40&md5=b976cf83af907df491d5a861d23d66f8 http://cmuir.cmu.ac.th/handle/6653943832/7240 English |
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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. |
| format |
Article |
| author |
Fernandes V.H. Honyam P. Quinteiro T.M. Singha B. |
| spellingShingle |
Fernandes V.H. Honyam P. Quinteiro T.M. Singha B. On semigroups of endomorphisms of a chain with restricted range |
| author_facet |
Fernandes V.H. Honyam P. Quinteiro T.M. Singha B. |
| author_sort |
Fernandes V.H. |
| title |
On semigroups of endomorphisms of a chain with restricted range |
| title_short |
On semigroups of endomorphisms of a chain with restricted range |
| title_full |
On semigroups of endomorphisms of a chain with restricted range |
| title_fullStr |
On semigroups of endomorphisms of a chain with restricted range |
| title_full_unstemmed |
On semigroups of endomorphisms of a chain with restricted range |
| title_sort |
on semigroups of endomorphisms of a chain with restricted range |
| publishDate |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-84887266823&partnerID=40&md5=b976cf83af907df491d5a861d23d66f8 http://cmuir.cmu.ac.th/handle/6653943832/7240 |
| _version_ |
1681420763407581184 |