On R-left cancellative semigroups
Suppose R is a Green’s relation on a semigroup S and let R LC (S) = {a ∈ S : ∀x , y ∈ S, ax = ay ⇒ x R y} It is obvious that RLC(S) is a subsemigroup of S if it is nonempty. The purpose of this paper is to study some properties of RLC(S .
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Prince of Songkla University
2018-02-01
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| Series: | Songklanakarin Journal of Science and Technology (SJST) |
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| Online Access: | http://rdo.psu.ac.th/sjstweb/journal/40-1/40-1-12.pdf |
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doaj-7e2fd052013c495699abb3ae09dadb3e2020-11-25T00:32:46ZengPrince of Songkla UniversitySongklanakarin Journal of Science and Technology (SJST)0125-33952018-02-01401939510.14456/sjst-psu.2018.4On R-left cancellative semigroupsChaiwat Namnak0Ekkachai Laysirikul1Piyaporn Tantong2Department of Mathematics, Faculty of Science, Naresuan University, Mueang, Phitsanulok, 65000 ThailandDepartment of Mathematics, Faculty of Science, Naresuan University, Mueang, Phitsanulok, 65000 ThailandDepartment of Mathematics, Faculty of Science, Naresuan University, Mueang, Phitsanulok, 65000 ThailandSuppose R is a Green’s relation on a semigroup S and let R LC (S) = {a ∈ S : ∀x , y ∈ S, ax = ay ⇒ x R y} It is obvious that RLC(S) is a subsemigroup of S if it is nonempty. The purpose of this paper is to study some properties of RLC(S . http://rdo.psu.ac.th/sjstweb/journal/40-1/40-1-12.pdfleft cancellativeGreen’s relations |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Chaiwat Namnak Ekkachai Laysirikul Piyaporn Tantong |
| spellingShingle |
Chaiwat Namnak Ekkachai Laysirikul Piyaporn Tantong On R-left cancellative semigroups Songklanakarin Journal of Science and Technology (SJST) left cancellative Green’s relations |
| author_facet |
Chaiwat Namnak Ekkachai Laysirikul Piyaporn Tantong |
| author_sort |
Chaiwat Namnak |
| title |
On R-left cancellative semigroups |
| title_short |
On R-left cancellative semigroups |
| title_full |
On R-left cancellative semigroups |
| title_fullStr |
On R-left cancellative semigroups |
| title_full_unstemmed |
On R-left cancellative semigroups |
| title_sort |
on r-left cancellative semigroups |
| publisher |
Prince of Songkla University |
| series |
Songklanakarin Journal of Science and Technology (SJST) |
| issn |
0125-3395 |
| publishDate |
2018-02-01 |
| description |
Suppose R is a Green’s relation on a semigroup S and let R LC (S) = {a ∈ S : ∀x , y ∈ S, ax = ay ⇒ x R y} It is obvious that
RLC(S) is a subsemigroup of S if it is nonempty. The purpose of this paper is to study some properties of RLC(S .
|
| topic |
left cancellative Green’s relations |
| url |
http://rdo.psu.ac.th/sjstweb/journal/40-1/40-1-12.pdf |
| work_keys_str_mv |
AT chaiwatnamnak onrleftcancellativesemigroups AT ekkachailaysirikul onrleftcancellativesemigroups AT piyaporntantong onrleftcancellativesemigroups |
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1725319158095151104 |