TY - JOUR
ID - 3133
TI - (weakly) $(s,n)$-closed hyperideals in commutative multiplicative hyperrings
JO - Journal of Algebraic Systems
JA - JAS
LA - en
SN - 2345-5128
AU - Anbarloei, Mahdi
AD - Imam Khomeini International University
Y1 - 2024
PY - 2024
VL -
IS -
SP -
EP -
KW - weakly (s
KW - n)-closed ideal
KW - (s
KW - n)-unbreakable-zero element
DO - 10.22044/jas.2024.13889.1780
N2 - 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.
UR - https://jas.shahroodut.ac.ir/article_3133.html
L1 -
ER -