(weakly) (s,n)-closed hyperideals
Rings and Algebras
2023-05-24 v1 Commutative Algebra
Abstract
A multiplicative hyperring is a well-known type of algebraic hyperstructures which extend a ring to a structure in which the addition is an operation but multiplication is a hyperoperation. Let G be a commutative multiplicative hyperring and s,n \in Z^+. A proper hyperideal Q of G is called (weakly) (s,n)-closed if (0 \neq a^s \subseteq Q) s^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
Cite
@article{arxiv.2305.13502,
title = {(weakly) (s,n)-closed hyperideals},
author = {Mahdi Anbarloei},
journal= {arXiv preprint arXiv:2305.13502},
year = {2023}
}