[PDF][PDF] On the primary avoidance theorem for modules over commutative rings

SE Atani, Ü Tekir - Int. J. Pure Appl. Math, 2006 - researchgate.net
ON THE PRIMARY AVOIDANCE THEOREM FOR MODULES OVER COMMUTATIVE RINGS
Throughout this paper, R denotes a commutative ring with ide Page 1 ON THE PRIMARY …

On -absorbing primary submodules of modules over commutative ring with unity

MK Dubey, P Aggarwal - Asian-European Journal of Mathematics, 2015 - World Scientific
In this paper, we introduce the concept of a 2-absorbing primary submodule over a
commutative ring with nonzero identity which is a generalization of primary submodule. Let …

On n-absorbing submodules of modules over commutative rings

MK Dubey, P Aggarwal - … zur Algebra und Geometrie/Contributions to …, 2016 - Springer
In this paper, we study the concepts of n-absorbing and weakly n-absorbing submodules of
modules over a commutative ring with non-zero unity which is a generalization of prime and …

Weakly second modules over noncommutative rings

R Beyranvand, F Rastgoo - Hacettepe Journal of Mathematics and …, 2016 - dergipark.org.tr
Weakly second modules over noncommutative rings Page 1 Hacettepe Journal of
Mathematics and Statistics Volume 45 (5) (2016), 1355 1366 Weakly second modules over …

[PDF][PDF] On the graded primary avoidance theorem

SE Atani, U Tekir - Chiang Mai J. Sci, 2007 - thaiscience.info
Let G be a monoid with identitye, and let R be a G-graded commutative ring. Here we study
the graded primary sub-modules of a graded R-module. While the bulk of this work is …

Uniformly primal submodule over noncommutative ring

LJM Abulebda - Journal of Mathematics, 2020 - Wiley Online Library
Let R be an associative ring with identity and M be a unitary right R‐module. A submodule N
of M is called a uniformly primal submodule provided that the subset B of R is uniformly not …

[PDF][PDF] On weakly primary submodules

AE Ashour - 2011 - researchgate.net
On Weakly Primary Submodules Page 1 Journal of Al Azhar University-Gaza (Natural
Sciences), 2011, 13 : 31-40 http://www.alazhar.edu.ps/journal123/natural_Sciences.asp?typeno=1 …

[PDF][PDF] When an Irreducible Submodule is Primary

A Darani - International Journal of Algebra, 2008 - m-hikari.com
When an Irreducible Submodule is Primary 1 Introduction Page 1 International Journal of
Algebra, Vol. 2, 2008, no. 20, 995 - 998 When an Irreducible Submodule is Primary A …

Annihilator conditions on modules over commutative rings

DD Anderson, S Chun - Journal of Algebra and Its Applications, 2017 - World Scientific
Let R be a commutative ring and M an R-module. Let Z (M)={r∈ R| rm= 0 for some nonzero
m∈ M} and T (M)={m∈ M| rm= 0 for some nonzero r∈ R}. M satisfies Property A …

[PDF][PDF] 1-absorbing primary submodules

EY Celikel - Analele ştiinţifice ale Universităţii" Ovidius" Constanţa …, 2021 - sciendo.com
Let R be a commutative ring with non-zero identity and M be a unitary R-module. The goal of
this paper is to extend the concept of 1-absorbing primary ideals to 1-absorbing primary …