(Weakly) $(α,β)$-prime hyperideals in commutative multiplicative hypeering
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917685337522176 |
|---|---|
| author | Anbarloei, Mahdi |
| author_facet | Anbarloei, Mahdi |
| contents | Let $H$ be a commutative multiplicative hyperring and $α, β\in \mathbb{Z}^+$. A proper hyperideal $P$ of $H$ is called (weakly) $(α,β)$-prime if $x^α\circ y \subseteq P$ for $x,y \in H$ implies $x^β\subseteq P$ or $y \in P$. In this paper, we aim to investigate (weakly) $(α,β)$-prime hyperideals and then we present some properties of them. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_01354 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | (Weakly) $(α,β)$-prime hyperideals in commutative multiplicative hypeering Anbarloei, Mahdi Commutative Algebra Let $H$ be a commutative multiplicative hyperring and $α, β\in \mathbb{Z}^+$. A proper hyperideal $P$ of $H$ is called (weakly) $(α,β)$-prime if $x^α\circ y \subseteq P$ for $x,y \in H$ implies $x^β\subseteq P$ or $y \in P$. In this paper, we aim to investigate (weakly) $(α,β)$-prime hyperideals and then we present some properties of them. |
| title | (Weakly) $(α,β)$-prime hyperideals in commutative multiplicative hypeering |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2406.01354 |