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 and $ M $ be an $ R $-module. In this paper, we investigate
some properties of 2-absorbing submodules of $ M $. It is shown that $ N $ is a 2-absorbing …

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 …

In this article, all rings are commutative with nonzero identity. Let $ M $ be an $ R $-module.
A proper submodule $ N $ of $ M $ is called a classical prime submodule, if for each $ m\in …

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 …

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 …

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 …

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 …

In this paper, we introduce the concept of 2-absorbing submodules as a generalization of 2-
absorbing ideals. Let R be a commutative ring and M an R-module. A proper submodule N …

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 …