In this paper, we extend the concept of β-absorbing submodules to φ-β-
absorbingsubmodules over a commutative ring with nonzero identity which is a …

Let R be a commutative ring with identity. For an R-module M, the notion of α-absorbing
submodules and weakly α-absorbing submodules are defined. We study some basic …

Let R a commutative ring with identity and M be a unitary R-module. In this paper, we
investigate some properties of n-absorbing submodules of M as a generalization of 2 …

Let R be a commutative ring with a nonzero identity and let M be a unitary R-module. We
introduce the concepts of 2-absorbing and weakly 2-absorbing submodules of M and give …

Let R be a commutative ring with identity and M be a unitary R-module. Let ϕ: S (M)→ S
(M)∪∅ ϕ:S(M)→S(M)∪{∅\} be a function, where S (M) is the set of submodules of M. We …

Let R be a commutative ring with identity and let M be a unitary R-module. In this paper, we
introduce the notion of weakly S-2-absorbing submodule. Suppose that S is a …

In this article, we introduce ϕ-1-absorbing primary submodules of modules over
commutative rings. Let R be a commutative ring with a nonzero identity and M be a nonzero …

Abstract Let\(R\) be a commutative ring with identity. A proper submodule\(N\) of an\(R\)-
module\(M\) is said to be a 2-absorbing submodule of\(M\) if whenever\(abm\in N\) for …

In this paper, we introduce weakly 1-absorbing primary submodules of modules over
commutative rings. Let R be a commutative ring with a nonzero identity and M be a nonzero …

Let R be a commutative ring with identity. A proper submodule N of an R-module M is said to
be a 2-absorbing submodule of M if whenever abm∈ N for some a, b∈ R and m∈ M, then …