In this study, we introduce ϕ-2-absorbing and ϕ-2-absorbing primary submodules of
modules over commutative rings generalizing the concepts of 2-absorbing and 2-absorbing …

A proper submodule P of an R-module M is called a weakly prime submodule, if for each
submodule K of M and elements a, b of R, abK⊆ P implies that aK⊆ P or bK⊆ P. Let W …

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 …

We introduce the concept of almost semiprime submodules of unitary modules over a
commutative ring with nonzero identity. We investigate some basic properties of almost …

Let $ R $ be a commutative ring with identity. A proper submodule $ N $ of an $ R $-module
$ M $ is an n-submodule if $ rmin N~(rin R, min M) $ with $ rnotinsqrt {Ann_R (M)} $, then …

arXiv:1609.08054v1 [math.AC] 26 Sep 2016 Page 1 arXiv:1609.08054v1 [math.AC] 26 Sep
2016 1 SOME GENERALIZATIONS OF SECOND SUBMODULES H. ANSARI-TOROGHY AND …

Let R be a commutative ring with identity, S a multiplicatively closed subset of R, and M be
an R-module. The aim of this article is to introduce and investigate some properties of the …

Minimal Prime Submodules 1 Introduction 2 The results Page 1 International Journal of
Algebra, Vol. 2, 2008, no. 20, 953 - 956 Minimal Prime Submodules Atul Gaur and Alok Kumar …

In this paper we introduce the concept of nearly maximal submodules as a generalization of
the class of maximal submodules, where a proper submodule N of M is called nearly …