Let R be a ring, M be a left R-module and Spec (RM) be the collection of all prime
submodules of M. In this paper and its sequel, we introduce and study a generalization of …

We introduce the notion of classical primary submodules that generalizes the concept of
primary ideals of commutative rings to modules. Existence and uniqueness of classical …

We generalize completely prime ideals in rings to submodules in modules. The notion of
multiplicative systems of rings is generalized to modules. Let N be a submodule of a left R …

In this study, we aim to introduce the concept of classical 1-absorbing prime submodules of
a nonzero unital module $ M $ over a commutative ring $ A $ with unity. A proper submodule …

Let M be a left R-module. In this paper a generalization of the notion of m-system set of rings
to modules is given. Then for a submodule N of M, we define\sqrt p N:= m ε M: every m …

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

ON CHAINS OF CLASSICAL PRIME SUBMODULES AND DIMENSION THEORY OF
MODULES† Communicated by Siamak Yassemi 1. Introduction The cl Page 1 Bulletin of the …

Full article: Generalization of Nilpotency of Ring Elements to Module Elements Skip to Main
Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log in …

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 …