Let R be a commutative ring with identity and M a unital R-module. In this article we extend
the notion of quasi-primary ideals to submodules. A proper submodule N of M is called quasi …

Weak Primary Submodules of Multiplication Modules and Intersection Theorem 1 Introduction
Page 1 Int. J. Contemp. Math. Sciences, Vol. 4, 2009, no. 33, 1645 - 1652 Weak Primary …

Let R be a commutative ring with identity and B be a proper submodule of an R-module D. In
this paper, we say that B is a radical semiprime submodule (for short, rad-semiprime), if …

Acta Mathematica Academiae Paedagogicae Nyıregyháziensis 33 (2017), 165–173 www.emis.de/journals
ISSN 1786-0091 I-PRIME SUBM Page 1 Acta Mathematica Academiae Paedagogicae …

In this paper, we introduce and study a new class of submodules which unify the concepts of
prime and primary submodules. Let M be a unital module over a commutative ring R, ϕ: L …

Let R be a commutative ring with identity, and M be unital (left) R-module. In this paper we
introduce and study the concept of small semiprime submodules as a generalization of …

We investigate properties of different monoid module radicals arising from the different
definitions of “prime” modules. Let R be a unital ring, M an R-module, and G a monoid. If γ is …

Let be a commutative ring with identity and a fixed ideal of and be an unitary-module. We
say that a proper submodule of is-semi prime submodule if with. In this paper, we investigate …

The purpose of this paper is to investigate pure submodules of multiplication modules. We
introduce the concept of idempotent submodule generalizing idempotent ideal. We show …