On quasi-hyperideals and bi-hyperideals in multiplicative hypersemirings
In this paper we introduce the notion of quasi-hyperideal in multiplicative hypersemirings which is a generalization of one-sided hyperideal and study some of its properties and obtain some characterizations of quasi-hyperideal in multiplicative hypersemirings. Also, we introduce the notion of bi-hy...
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| Format: | Article |
| Language: | English |
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University of Mohaghegh Ardabili
2023-12-01
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| Series: | Journal of Hyperstructures |
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| Online Access: | https://jhs.uma.ac.ir/article_2563_26fac05654221c268cc2740bfb1aaa56.pdf |
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| author | Md Salim Masud Molla |
| author_facet | Md Salim Masud Molla |
| author_sort | Md Salim Masud Molla |
| collection | DOAJ |
| description | In this paper we introduce the notion of quasi-hyperideal in multiplicative hypersemirings which is a generalization of one-sided hyperideal and study some of its properties and obtain some characterizations of quasi-hyperideal in multiplicative hypersemirings. Also, we introduce the notion of bi-hyperideal in multiplicative hypersemirings. We prove that in a multiplicative hypersemiring every quasi-hyperideal is a bi-hyperideal, but the converse is not true. Lastly, we characterize regular multiplicative hypersemiring with the help of quasi-hyperideal and bi-hyperideal. |
| format | Article |
| id | doaj-art-bbf0d2280c6c4f9b9cf37ffd6033c578 |
| institution | Kabale University |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-bbf0d2280c6c4f9b9cf37ffd6033c5782025-08-20T03:28:55ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662023-12-0111219621310.22098/jhs.2023.25632563On quasi-hyperideals and bi-hyperideals in multiplicative hypersemiringsMd Salim Masud Molla0Department of Mathematics, Darjeeling Government College, P.O.Box 734101, Darjeeling, IndiaIn this paper we introduce the notion of quasi-hyperideal in multiplicative hypersemirings which is a generalization of one-sided hyperideal and study some of its properties and obtain some characterizations of quasi-hyperideal in multiplicative hypersemirings. Also, we introduce the notion of bi-hyperideal in multiplicative hypersemirings. We prove that in a multiplicative hypersemiring every quasi-hyperideal is a bi-hyperideal, but the converse is not true. Lastly, we characterize regular multiplicative hypersemiring with the help of quasi-hyperideal and bi-hyperideal.https://jhs.uma.ac.ir/article_2563_26fac05654221c268cc2740bfb1aaa56.pdfmultiplicative hypersemiringminimal left hyperidealminimal right hyperidealquasi-hyperidealbi-hyperidealregular multiplicative hypersemiring |
| spellingShingle | Md Salim Masud Molla On quasi-hyperideals and bi-hyperideals in multiplicative hypersemirings Journal of Hyperstructures multiplicative hypersemiring minimal left hyperideal minimal right hyperideal quasi-hyperideal bi-hyperideal regular multiplicative hypersemiring |
| title | On quasi-hyperideals and bi-hyperideals in multiplicative hypersemirings |
| title_full | On quasi-hyperideals and bi-hyperideals in multiplicative hypersemirings |
| title_fullStr | On quasi-hyperideals and bi-hyperideals in multiplicative hypersemirings |
| title_full_unstemmed | On quasi-hyperideals and bi-hyperideals in multiplicative hypersemirings |
| title_short | On quasi-hyperideals and bi-hyperideals in multiplicative hypersemirings |
| title_sort | on quasi hyperideals and bi hyperideals in multiplicative hypersemirings |
| topic | multiplicative hypersemiring minimal left hyperideal minimal right hyperideal quasi-hyperideal bi-hyperideal regular multiplicative hypersemiring |
| url | https://jhs.uma.ac.ir/article_2563_26fac05654221c268cc2740bfb1aaa56.pdf |
| work_keys_str_mv | AT mdsalimmasudmolla onquasihyperidealsandbihyperidealsinmultiplicativehypersemirings |