Let R be a commutative ring with non-zero identity, S⊆ R a multiplicatively closed subset of
R and M a unital R-module. In this paper, we introduce and study the concept of S-1 …

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 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 …

This article introduces the concept of S-2-absorbing primary submodule as a generalization
of 2-absorbing primary submodule. Let S be a multiplicatively closed subset of a ring R and …

In this study, we aim to introduce the concept of a 1-absorbing prime submodule of an unital
module over a commutative ring with a non-zero identity. Let M be an R-module and N be a …

Let R be a commutative ring with nonzero identity, and let M be a nonzero unital R-module.
In this article, we introduce the concept of 2-absorbing quasi primary submodules which is a …

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 n> 1 be an integer. A proper submodule N
of an R-module M will be called 2-absorbing [resp. n-weakly prime], if r; s 2 R and x 2 M with …

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 …

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 …