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quasi S-primary hyperideals | ||
| Caspian Journal of Mathematical Sciences | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 29 مهر 1405 | ||
| نوع مقاله: Research Articles | ||
| شناسه دیجیتال (DOI): 10.22080/cjms.2026.32669.1907 | ||
| نویسنده | ||
| Mahdi Anbarloei* | ||
| Department of Mathematics, Faculty of Sciences, Imam Khomeini International University, Qazvin, Iran. | ||
| تاریخ دریافت: 19 مرداد 1405، تاریخ بازنگری: 15 مهر 1405، تاریخ پذیرش: 29 مهر 1405 | ||
| چکیده | ||
| The present research work addresses the concept of quasi $S$-primary hyperideals in a commutative multiplicative hyperring $G$. A hyperideal $A$ of $G$ disjoint from a multiplicatively closed subset $S$ is classified as a quasi $S$-primary hyperideal if there exists a $t \in S$ such that for all $u,v \in G$ if $u \circ v \subseteq A$, then $t \circ u \subseteq rad(A)$ or $t \circ v \subseteq rad(A)$. We provide a general framework for understanding the importance of quasi $S$-primary hyperideals in hyperring theory by investigating their relationships and characteristics. Moreover, we investigate the “weakly” analog of quasi $S$-primary hyperideals. Several properties of weakly quasi $S$-primary hyperideals are studied in particular cases. Finally, we introduce and analyze the notion of strongly quasi $S$-primary hyperideals as a subclass of quasi $S$-primary hyperideals. | ||
| کلیدواژه‌ها | ||
| $S$-prime hyperideal؛ quasi $S$-primary hyperideal؛ weakly quasi $S$-primary hyperideal؛ strongly quasi $S$-primary hyperideal | ||
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آمار تعداد مشاهده مقاله: 3 |
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