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 1 ̸= 0, N a proper submodule of an R− module M, and na
positive integer. In this paper, we define N to be an n− absorbing primary submodule of M if …

Sažetak All rings are commutative with identity, and all modules are unital. The purpose of
this article is to investigate n-absorbing submodules. For this reason we introduce the …

Let R be a commutative ring with unity, M be an R-module and n be a positive integer. In this
paper, we introduce the concept of almost n-absorbing primary submodules as a new …

Let 𝑆⊆ 𝑅 be a mcs of a commutative ring 𝑅 and 𝑀 a unital module. We said to be a
submodule 𝐾 of 𝑀 with (𝐾: 𝑅 𝑀)∩ 𝑆= 𝜙 a weakly 𝑆-2-absorbing primary, if an 𝑠∈ 𝑆 such …

Let 𝑅 be a commutative ring with identity. The aim of this paper is introduce the notion of a
pseudo primary-2-absorbing submodule as generalization of 2-absorbing submodule and a …

Let $ R $ be a commutative ring with identity and $ M $ be an $ R $-module. The main
purpose of this paper is to introduce and investigate the notion of classical and strongly …

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

Over the years, prime submodules and their generalizations have played a pivotal role in
commutative algebra, garnering considerable attention from numerous researchers and …

Let R be a commutative ring with identity and M be an R-module. The main purpose of this
paper is to introduce and investigate the notion of strongly {\psi}-2-absorbing second …