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J-hyperideals and related generalizations in multiplicative hyperrings | ||
| Journal of Mahani Mathematical Research | ||
| دوره 13، شماره 2 - شماره پیاپی 27، آبان 2024، صفحه 365-382 اصل مقاله (519.59 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmr.2024.22687.1554 | ||
| نویسندگان | ||
| Mahdi Anbarloei* ؛ Ali Behtoei | ||
| Department of Mathematics, Faculty of Sciences, Imam Khomeini International University, Qazvin, Iran | ||
| چکیده | ||
| In this paper, we define the concept of $J$-hyperideals which is a generalization of $n$-hyperideals. A proper hyperideal $I$ of a multiplicative hyperring $R$ is said to be a $J$-hyperideal if $x,y\in R$ such that $x \circ y \subseteq I$, then either $x \in J(R)$ or $y \in I$. We study and investigate the behavior of the $J$-hyperideals to introduce several results. Moreover, we extend the notion of $J$-hyperideals to quasi $J$-hyperideals and 2-absorbing $J$-hyperideals. Various characterizations of them are provided. | ||
| کلیدواژه‌ها | ||
| $J$-hyperideal؛ Quasi $J$-hyperideal؛ 2-absorbing $J$-hyperideal | ||
| مراجع | ||
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