Let R be a commutative ring with identity and M be a unitary R-module. The notions of
associated and supported PRIME SUBMODULE s of a module are defined. Our aim is to …

Let R be a commutative ring with nonzero identity. Our objective is to investigate
representable modules and to examine in particular when submodules of such modules are …

Strong z‐Submodules of a Module - Farshadifar - 2023 - Journal of Mathematics - Wiley Online
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Modules which are extending relative to module classes Page 1 COMMUNICATIONS IN
ALGEBRA, 26(6), 1699- 172 1 (1998) MODULES WHICH ARE EXTENDING RELATIVE TO …

In this note we compare some notions of primeness for modules existing in the literature. We
characterize the prime left R-modules such that the left annihilator of every element is a (two …

Introduction and Notation. A ring R is called a (von Neumann) regular ring if for each a in R
there exists an x in R such that a= axa. The notion of regularity has been extended to …

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 …

As a proper generalization of the modules with the properties (E) and (EE) that were
introduced by Zoschinger in terms of supplements, we say that a module M has the property …

The purpose of this paper is to further the study of weakly injective and weakly projective
modules as a generalization of injective and projective modules. For a locally qfd module …