Let R be a commutative ring with identity. In this paper, we introduce the concept of 1-
absorbing prime ideals which is a generalization of prime ideals. A proper ideal I of R is …

Let R be a commutative ring and M an R-module. In this article, we introduce the concept of
S-2-absorbing submodule. Suppose that S⊆ R is a multiplicatively closed subset of R. A …

In this paper, we introduce and study a new class of submodules which unify the concepts of
prime and primary submodules. Let M be a unital module over a commutative ring R, ϕ: L …

This paper introduce and study weakly 1-absorbing prime ideals in commutative rings. Let A
$ Abeacommutativeringwithanonzeroidentity 1≠0. 1≠0.Aproperideal P$ P of A …

In this paper, we introduce ϕ ϕ-1-absorbing prime ideals in commutative rings. Let R be a
commutative ring with a nonzero identity 1 ≠ 0 1≠ 0 and ϕ: I (R) → I (R) ∪ {∅\} ϕ: I (R)→ I …

This article introduces the concept of S‐semiprime submodules which are a generalization
of semiprime submodules and S‐prime submodules. Let M be a nonzero unital R‐module …

Let R be a unitary left R-module and T be a self-identifiable commutative ring We introduce
and analyze the idea of socle-quasi-primary-2-absorbing submodules, which is a …

Recall that a commutative ring R is said to be a divided ring if its each prime ideal P is
comparable with each principal ideal (a), where a ∈ R. a∈ R. In this paper, we extend the …

Let Ḿ be a unitary R-module and R is a commutative ring with identity. Our aim in this paper
to study the concepts T-ABSO fuzzy ideals, T-ABSO fuzzy submodules and T-ABSO quasi …

In this paper, we introduce $\phi $-1-absorbing prime ideals in commutative rings. Let $ R $
be a commutative ring with a nonzero identity $1\neq0 $ and $\phi:\mathcal {I}(R)\rightarrow …