J-hyperideals and related generalizations in multiplicative hyperrings
| Autor: | Mahdi Anbarloei, Ali Behtoei |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Journal of Mahani Mathematical Research, Vol 13, Iss 2, Pp 365-382 (2024) |
| Druh dokumentu: | article |
| ISSN: | 2251-7952 2645-4505 |
| DOI: | 10.22103/jmmr.2024.22687.1554 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
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