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On quasi-hyperideals and bi-hyperideals in multiplicative hypersemirings | ||
| Journal of Hyperstructures | ||
| دوره 11، شماره 2، اسفند 2022، صفحه 196-213 اصل مقاله (311.46 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2023.2563 | ||
| نویسنده | ||
| Md Salim Masud Molla* | ||
| Department of Mathematics, Darjeeling Government College, P.O.Box 734101, Darjeeling, India | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Multiplicative hypersemiring؛ minimal left hyperideal؛ minimal right hyperideal؛ quasi-hyperideal؛ bi-hyperideal؛ regular multiplicative hypersemiring | ||
| مراجع | ||
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