@article {
author = {Anbarloei, Mahdi},
title = {(weakly) $(s,n)$-closed hyperideals in commutative multiplicative hyperrings},
journal = {Journal of Algebraic Systems},
volume = {},
number = {},
pages = {-},
year = {2024},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2024.13889.1780},
abstract = {A multiplicative hyperring is a well-known type of algebraic hyperstructures which extends a ring to a structure in which the addition is an operation but the multiplication is a hyperoperation. Let $G$ be a commutative multiplicative hyperring and $s,n \in \mathbb{Z}^+$. A proper hyperideal $Q$ of $G$ is called (weakly) $(s,n)$-closed if ($0 \notin a^s \subseteq Q$ ) $a^s \subseteq Q$ for $a \in G$ implies $a^n \subseteq Q$. In this paper, we aim to investigate (weakly) $(s,n)$-closed hyperideals and give some results explaining the structures of these notions.},
keywords = {weakly (s,n)-closed ideal,(s,n)-unbreakable-zero element},
url = {https://jas.shahroodut.ac.ir/article_3133.html},
eprint = {}
}