All rings are commutative with 1= 0, and all modules are unital. The purpose of this paper is
to investigate the concept of 2-absorbing primary submodules generalizing 2-absorbing …

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 presents two generalizations, one of prime submodules called S (N)− locally
prime submodules and the other of weakly prime submodules called S (N)− weakly prime …

Let $ R $ be a $ G $-graded commutative ring with identity and let $ M $ be a graded $ R $-
module. A proper graded submodule $ N $ of $ M $ is called graded classical prime if for …

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 …

In this paper, we introduce the concept of a 2-absorbing primary submodule over a
commutative ring with nonzero identity which is a generalization of primary submodule. Let …

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 …

On 2-Absorbing Submodules over Commutative Rings Page 1 ISSN 1995-0802,
Lobachevskii Journal of Mathematics, 2015, Vol. 36, No. 1, pp. 58–64. c © Pleiades …

We have introduced the notion of $\alpha $-prime and weakly $\alpha $-prime submodules
as a generalization of prime submodules. Some basic properties of $\alpha $-prime and …

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 …