Prime hyperideals and primary hyperideals as two of the most important structures in a
Krasner (m, n)-hyperring are defferent from each other in many aspects. In this paper, we …

In this paper, we study $\delta $-primary and 2-absorbing $\delta $-primary hyperideals
which are the extended classes of prime and 2-absorbing hyperideals, respectively. Assume …

Let R be a commutative ring with unity 1≠ 0 and let δ be an ideal expansion. In the first part
of this paper, we extend the concept of δ-primary ideals to ϕ-δ-primary ideals, where ϕ is an …

Let R be a commutative ring with 1≠ 0. We recall that a proper ideal I of R is called a weakly
2-absorbing primary ideal of R if whenever a, b, c∈ R and 0≠ a⁢ b⁢ c∈ I, then a⁢ b∈ I or …

This paper aims to introduce 2-absorbing $\phi $-$\delta $-primary ideals over commutative
rings which unify the concepts of all generalizations of 2-absorbing and 2-absorbing primary …

arXiv:2008.00291v1 [math.AC] 1 Aug 2020 Page 1 arXiv:2008.00291v1 [math.AC] 1 Aug 2020
WEAKLY (m, n)-CLOSED IDEALS AND (m, n)-VON NEUMANN REGULAR RINGS DAVID F …

ON (m, n)−CLOSED δ−PRIMARY IDEALS OF COMMUTATIVE RINGS Page 1 Palestine Journal
of Mathematics Vol. 12(2)(2023) , 280–290 © Palestine Polytechnic University-PPU 2023 ON (m …

Various classes of hyperideals have been studied in many papers in order to let us fully
understand the structures of hyperrings in general. The purpose of this paper is the study of …

Over the years, different types of hyperideals have been introduced in order to let us fully
realize the structures of hyperrings in general. The aim of this research work is to define and …

Let R be a commutative ring with 1≠ 0. In this article, we introduce the concept of weakly (m,
n)− closed δ− primary ideals of R and explore its basic properties. We show that a proper …