Let R be a commutative ring and m, n be positive integers. We define a proper submodule N
of an R-module M to be (m, n)-closed if for r∈ R and b∈ M, r^{m} b∈ N implies rⁿ∈(N: _ {R} …

Let R be a commutative ring and m, n be positive integers. We define a proper submodule N
of an R-module M to be (m, n)-closed if for r∈ R and b∈ M, r^{m} b∈ N implies rⁿ∈(N: _ {R} …

In this paper, we introduce the notion of classical n-absorbing submodules of a module M
over a commutative ring R with identity, which is a generalization of classical prime …

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 …

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 …

In this paper, we study the concepts of n-absorbing and weakly n-absorbing submodules of
modules over a commutative ring with non-zero unity which is a generalization of prime and …

In this paper, the authors extend the concept of n-absorbing ideals of commutative rings as
in [1, 3] and 2-absorbing primary ideal of commutative as in [4, 5] to the context of …

arXiv:1604.07656v1 [math.AC] 26 Apr 2016 Page 1 arXiv:1604.07656v1 [math.AC] 26 Apr 2016
ON (k, n)-CLOSED SUBMODULES ECE YETKIN CELIKEL Abstract. Let R be a commutative ring …

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