On interior bases of a semigroup
The main purpose of this paper is to introduce the concept of interior bases of a semigroup. In addition, we give a characterization when a non-empty subset of a semigroup is an interior base of a semigroup and give necessary and sufficient conditions of an interior base of a semigroup to be a sub...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Prince of Songkla University
2022-04-01
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| Series: | Songklanakarin Journal of Science and Technology (SJST) |
| Subjects: | |
| Online Access: | https://rdo.psu.ac.th/sjst/journal/44-2/32.pdf |
| _version_ | 1811196187321040896 |
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| author | Wichayaporn Jantanan Natee Raikham Ronnason Chinram Aiyared Iampan |
| author_facet | Wichayaporn Jantanan Natee Raikham Ronnason Chinram Aiyared Iampan |
| author_sort | Wichayaporn Jantanan |
| collection | DOAJ |
| description | The main purpose of this paper is to introduce the concept of interior bases of a semigroup. In addition, we give a
characterization when a non-empty subset of a semigroup is an interior base of a semigroup and give necessary and sufficient
conditions of an interior base of a semigroup to be a subsemigroup. |
| first_indexed | 2024-04-12T00:54:20Z |
| format | Article |
| id | doaj.art-38661a40b6844747a95397af95285f34 |
| institution | Directory Open Access Journal |
| issn | 0125-3395 |
| language | English |
| last_indexed | 2024-04-12T00:54:20Z |
| publishDate | 2022-04-01 |
| publisher | Prince of Songkla University |
| record_format | Article |
| series | Songklanakarin Journal of Science and Technology (SJST) |
| spelling | doaj.art-38661a40b6844747a95397af95285f342022-12-22T03:54:38ZengPrince of Songkla UniversitySongklanakarin Journal of Science and Technology (SJST)0125-33952022-04-0144252452910.14456/sjst-psu.2022.72On interior bases of a semigroupWichayaporn Jantanan0Natee Raikham1Ronnason Chinram2Aiyared Iampan3Department of Mathematics, Faculty of Science, Buriram Rajabhat University, Mueang, Buriram, 31000 ThailandDepartment of Mathematics, Faculty of Science, Buriram Rajabhat University, Mueang, Buriram, 31000 ThailandDivision of Computational Science, Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla, 90110 ThailandDepartment of Mathematics, School of Science, University of Phayao, Mueang, Phayao, 56000 ThailandThe main purpose of this paper is to introduce the concept of interior bases of a semigroup. In addition, we give a characterization when a non-empty subset of a semigroup is an interior base of a semigroup and give necessary and sufficient conditions of an interior base of a semigroup to be a subsemigroup.https://rdo.psu.ac.th/sjst/journal/44-2/32.pdfsemigroupinterior idealinterior basequasi-order |
| spellingShingle | Wichayaporn Jantanan Natee Raikham Ronnason Chinram Aiyared Iampan On interior bases of a semigroup Songklanakarin Journal of Science and Technology (SJST) semigroup interior ideal interior base quasi-order |
| title | On interior bases of a semigroup |
| title_full | On interior bases of a semigroup |
| title_fullStr | On interior bases of a semigroup |
| title_full_unstemmed | On interior bases of a semigroup |
| title_short | On interior bases of a semigroup |
| title_sort | on interior bases of a semigroup |
| topic | semigroup interior ideal interior base quasi-order |
| url | https://rdo.psu.ac.th/sjst/journal/44-2/32.pdf |
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