Commutative rings whose proper ideals are direct sums of uniform modules

S Asgari, M Behboodi - Communications in Algebra, 2018 - Taylor & Francis
An interesting result, obtaining by some theorems of Asano, Köthe and Warfield, states
that:“for a commutative ring R, every module is a direct sum of uniform modules if and only if …

[PDF][PDF] Chains and unions of prime submodules

Y SHAHVALIZADEH - UCT. J. Res. Sci. Eng. Technol, 2017 - uctjournals.com
Abstract. Let R be a commutative ring with identity and let M be a unital R-module. In this
paper we study the various properties of prime submodules. Also we give a new equivalent …

Weakly regular modules.

AN Abyzov - Russian Mathematics-New York, 2004 - kpfu.ru
In this paper, we consider associative rings with unit and unitary modules over these rings.
Let R be a ring and M a right unitary R-module. We denote by J (R) and J (M) the Jacobson …

[PDF][PDF] Notes on annihilator conditions in modules over commutative rings.

AY Darani - Analele Ştiinţifice ale Universităţii “Ovidius, 2010 - eudml.org
Throughout this paper all rings are commutative with nonzero identity comma and all
modules are considered to be unitary period We wish to study properties of submod hyphen …

Weakly classical prime submodules

H Mostafanasab, U Tekir, KH Oral - arXiv preprint arXiv:1505.06730, 2015 - arxiv.org
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 …

[PDF][PDF] On Small Primary Modules

AJ Abdul-Alkalik - Iraqi Journal of Science, 2021 - iasj.net
Let be a commutative ring with an identity and be a unitary-module. We say that a non-zero
submodule of is primary if for each with en either or√ and an-module is a small primary …

[PDF][PDF] On Von Neumann regular modules

GN Sudharshana, DS Kumar - Adv. Math. Sci. J, 2020 - research-publication.com
Results gotten for a module M over a commutative ring have been broadened to module
over a ring which is not necessarily commutative. It has been indicated that an R-module M …

[PDF][PDF] Multiplications Von Neumann Regular Module

S Rajaee - International Mathematical forum, 2012 - m-hikari.com
Multiplication von Neumann Regular Modules 1 Introduction Page 1 International Mathematical
Forum, Vol. 7, 2012, no. 60, 2971 - 2976 Multiplication von Neumann Regular Modules Saeed …

A note on regular modules

VS Ramamurthi - Bulletin of the Australian Mathematical Society, 1974 - cambridge.org
A note on regular modules Page 1 BULL. AUSTRAL. MATH. SOC. I6A30 VOL. II ( 1 9 7 4 ) , 3 5
9 - 3 6 4 . ( I 6 A 5 O ) A note on regular modules VS Ramamurthi Kaplansky's observation …

On classical weakly prime submodules

M Jamali, R Jahani-Nezhad - Facta Universitatis, Series …, 2022 - casopisi.junis.ni.ac.rs
The aim of this paper is to introduce the concept of classical weakly prime submodules
which is the generalization of the notion of weakly classical prime submodules to modules …