M. Anbarloei

Among many generalizations of primary hyperideals, weakly $n$ -ary primary hyperideals and $n$ -ary $S$ -primary hyperideals have been studied recently. Let $S$ be an $n$ -ary multipli…

math.AC2024

(Weakly) $(α, β)$ -prime hyperideals in commutative multiplicative hypeering

Mahdi Anbarloei

Let $H$ be a commutative multiplicative hyperring and $α, β \in Z^{+}$ . A proper hyperideal $P$ of $H$ is called (weakly) $(α, β)$ -prime if $x^{α} \circ y \subseteq P$ for $x,y \…

math.AC2023

$ϕ$ - $(k, n)$ -absorbing and $ϕ$ - $(k, n)$ -absorbing primary hyperideals in a krasner $(m, n)$ -hyperring

Mahdi Anbarloei

Various expansions of prime hyperideals have been studied in a Krasner $(m, n)$ -hyperring $R$ . For instance, a proper hyperideal $Q$ of $R$ is called weakly $(k, n)$ -absorbing primar…

math.AC2022★ 1 cited

Multiplication $(m, n)$ -hypermodules

M. Anbarloei

The concept of multiplication $(m, n)$ -hypermodules was introduced by Ameri and Norouzi in \cite{sorc2}. Here we intend to investigate extensively the multiplication $(m, n)$ -hypermo…

math.AC2022

Extensions of $n$ -ary prime hyperideals via an $n$ -ary multiplicative subset in a Krasner $(m, n)$ -hyperring

M. Anbarloei

Let R be a Krasner (m,n)-hyperring and S be an n-ary multiplicative subset of R. The purpose of this paper is to introduce the notion of n-ary S-prime hyperideals as a new expansio…

(n,Q)-ideals ans phi-(n,Q)-ideals of commutative rings

Q-filters of bounded lattices

S-Filters of bounded lattices

ϕ-δ-S-primary hyperideals

(Weakly) (α,β)-prime hyperideals in commutative multiplicative hypeering

ϕ-(k,n)-absorbing and ϕ-(k,n)-absorbing primary hyperideals in a krasner (m,n)-hyperring

Multiplication (m,n)-hypermodules

Extensions of n-ary prime hyperideals via an n-ary multiplicative subset in a Krasner (m,n)-hyperring

$ϕ$ - $δ$ - $S$ -primary hyperideals

(Weakly) $(α, β)$ -prime hyperideals in commutative multiplicative hypeering

$ϕ$ - $(k, n)$ -absorbing and $ϕ$ - $(k, n)$ -absorbing primary hyperideals in a krasner $(m, n)$ -hyperring

Multiplication $(m, n)$ -hypermodules

Extensions of $n$ -ary prime hyperideals via an $n$ -ary multiplicative subset in a Krasner $(m, n)$ -hyperring