Let R be a commutative ring with identity and M be an R-module. As a new generalization of
primary ideals to modules, a proper submodule N of M is a primary-like submodule if …

In this paper, 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 …

This paper is motivated by the results in [6]. We study some properties of strongly irreducible
submodules of a module. In fact, our objective is to investigate strongly irreducible modules …

In this paper we introduce the notion of classical quasi PRIMARY submodules that
generalizes the concept of classical PRIMARY submodules. Then, we investigate …

In this paper, we use Zorn's Lemma, multiplicatively closed subsets and saturated closed
subsets for the following two topics:(i) The existence of prime submodules in some cases,(ii) …

Accepted: 27/11/2022 In this paper, we intend to study the concept of almost approximaitly
nearlyprime submodules as new generalization of prime submodules, also generalization of …

In this paper, we give a generalization for weakly primary submodules called $ I $-primary
submodule and we study some properties of it. We give some characterizations of $ I …

On Unions of Prime Submodules Page 1 Southeast Asian Bulletin of Mathematics (2004) 28:
213-218 Southeast Asian Bulletin of Mathematics © SEAMS, 2004 On Unions of Prime …

Let R be a commutative ring with identity and M a unitary R-module, and n> 1 an integer
number. As a generalization of the concept of prime submodules, a proper submodule N of …