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 …

Let R be a commutative ring with identity and M a unitary R-module. Some properties of
prime submodules of an R-module M have been discussed. In this paper, we investigate the …

Let H be a module over a commutative ring R with identity. In this paper we intoduce the
concept of Strongly Pseudo Nearly Semi-2-Absorbing submodule, where a proper …

Let R be a commutative ring with non-zero identity. We define a proper submodule N of an R-
module M to be weakly prime if 0≠ rm∈ N (r∈ R, m∈ M) implies m∈ N or rM⊆ N. A …

Let $ R $ be a commutative ring with unity and $ K $ be a submodule of a non-zero left $ R $-
module $ D $. This paper introduces a new concept as a generalization of the prime …

In this study, we aim to introduce the concepts of 1-absorbing prime submodules and weakly
1-absorbing prime submodules of a unital module over a noncommutative ring with nonzero …

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 …

Let ℋ be a module over a commutative ring 𝑅 with identity. In this paper we intoduce the
concept of Strongly Pseudo Nearly Semi-2-Absorbing submodule, where a proper …

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} …