On fuzzy soft bi-ideals over semigroups
The aim of this paper is to study fuzzy soft bi-ideals over semigroups and give some properties of prime, strongly prime and semiprime fuzzy soft bi-ideals over semigroups. We also show that a semigroup is both regular and intra-regular if and only if every fuzzy soft bi-ideal over the semigroup i...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Prince of Songkla University
2015-10-01
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| Series: | Songklanakarin Journal of Science and Technology (SJST) |
| Subjects: | |
| Online Access: | http://rdo.psu.ac.th/sjstweb/journal/37-5/37-5-15.pdf |
| _version_ | 1819209602235891712 |
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| author | Manoj Siripitukdet Peerapong Suebsan |
| author_facet | Manoj Siripitukdet Peerapong Suebsan |
| author_sort | Manoj Siripitukdet |
| collection | DOAJ |
| description | The aim of this paper is to study fuzzy soft bi-ideals over semigroups and give some properties of prime, strongly
prime and semiprime fuzzy soft bi-ideals over semigroups. We also show that a semigroup is both regular and intra-regular if
and only if every fuzzy soft bi-ideal over the semigroup is a semiprime. |
| first_indexed | 2024-12-23T05:57:53Z |
| format | Article |
| id | doaj.art-6e48bde799d34692bf8b5258ca892d7a |
| institution | Directory Open Access Journal |
| issn | 0125-3395 |
| language | English |
| last_indexed | 2024-12-23T05:57:53Z |
| publishDate | 2015-10-01 |
| publisher | Prince of Songkla University |
| record_format | Article |
| series | Songklanakarin Journal of Science and Technology (SJST) |
| spelling | doaj.art-6e48bde799d34692bf8b5258ca892d7a2022-12-21T17:57:45ZengPrince of Songkla UniversitySongklanakarin Journal of Science and Technology (SJST)0125-33952015-10-01375601608On fuzzy soft bi-ideals over semigroupsManoj Siripitukdet0Peerapong Suebsan1Research Center for Academic Excellence in Mathematics, Department of Mathematics, Faculty of Science, Naresuan University, Mueang, Phitsanulok, 65000 Thailand.Research Center for Academic Excellence in Mathematics, Department of Mathematics, Faculty of Science, Naresuan University, Mueang, Phitsanulok, 65000 Thailand.The aim of this paper is to study fuzzy soft bi-ideals over semigroups and give some properties of prime, strongly prime and semiprime fuzzy soft bi-ideals over semigroups. We also show that a semigroup is both regular and intra-regular if and only if every fuzzy soft bi-ideal over the semigroup is a semiprime.http://rdo.psu.ac.th/sjstweb/journal/37-5/37-5-15.pdfprime fuzzy soft bi-idealstrongly prime fuzzy soft bi-idealsemiprime fuzzy soft bi-idea |
| spellingShingle | Manoj Siripitukdet Peerapong Suebsan On fuzzy soft bi-ideals over semigroups Songklanakarin Journal of Science and Technology (SJST) prime fuzzy soft bi-ideal strongly prime fuzzy soft bi-ideal semiprime fuzzy soft bi-idea |
| title | On fuzzy soft bi-ideals over semigroups |
| title_full | On fuzzy soft bi-ideals over semigroups |
| title_fullStr | On fuzzy soft bi-ideals over semigroups |
| title_full_unstemmed | On fuzzy soft bi-ideals over semigroups |
| title_short | On fuzzy soft bi-ideals over semigroups |
| title_sort | on fuzzy soft bi ideals over semigroups |
| topic | prime fuzzy soft bi-ideal strongly prime fuzzy soft bi-ideal semiprime fuzzy soft bi-idea |
| url | http://rdo.psu.ac.th/sjstweb/journal/37-5/37-5-15.pdf |
| work_keys_str_mv | AT manojsiripitukdet onfuzzysoftbiidealsoversemigroups AT peerapongsuebsan onfuzzysoftbiidealsoversemigroups |