Quasi-Primary Decomposition in Modules Over Proufer Domains

M Behboodi, R Jahani-Nezhad… - Journal of Algebraic …, 2014 - jas.shahroodut.ac.ir
In this paper we investigate decompositions of submodules in modules over a Prüfer domain
into intersections of quasi-primary and classical quasi-primary submodules. In particular …

[PDF][PDF] On prime submodules and primary decomposition

Y Tiras, A Harmanci - Czechoslovak Mathematical Journal, 2000 - avesis.hacettepe.edu.tr
Czechoslovak Mathematical Journal Page 1 Czechoslovak Mathematical Journal Yücel Tiraş;
Abdullah Harmanci On prime submodules and primary decomposition Czechoslovak …

[PDF][PDF] Some remarks on primal submodules

SE Atani, AY Darani - Sarajevo journal of mathematics, 2008 - academia.edu
In this paper, we study the primal submodules of a module over a commutative ring with non-
zero identity. We generalize the primal decomposition of ideals (see [2]) to that of …

Classical quasi-primary submodules

M Behboodi, NR JAHANI, MH Naderi - 2011 - sid.ir
In this paper we introduce the notion of classical quasi PRIMARY submodules that
generalizes the concept of classical PRIMARY submodules. Then, we investigate …

I-primary submodules

I Akray, HS Hussein - arXiv preprint arXiv:1612.02476, 2016 - arxiv.org
In this paper, we give a generalization for weakly primary submodules called $ I $-primary
submodule and we study some properties of it. We give some characterizations of $ I …

Classical primary submodules and decomposition theory of modules

M Baziar, M Behboodi - Journal of Algebra and its Applications, 2009 - World Scientific
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 …

Quasi-primary submodules satisfying the primeful property II

HF Moghimi, M Samiei - Hacettepe Journal of Mathematics and …, 2015 - dergipark.org.tr
In this paper we continue our study about quasi-primary submodules (probably satisfying the
primeful property), that was defined and studied in Part I (see [8]). We define a quasi-primary …

On nearly prime submodules of unitary modules

NDH Nghiem, S Baupradist… - Journal of …, 2018 - Wiley Online Library
The aim of this paper is to introduce the notion of nearly prime submodules as a
generalization of prime submodules. We investigate some of their basic properties and point …

On prime submodules of a finitely generated free module over a commutative ring

F Mirzaei, R Nekooei - Communications In Algebra, 2016 - Taylor & Francis
In this article, we give a full characterization of prime submodules of a finitely generated free
module F over a commutative ring R with identity. Also we study the existence of primary …

Prime and primary submodules of certain modules

A Amini, B Amini, H Sharif - Czechoslovak Mathematical Journal, 2006 - Springer
Prime and primary submodules of certain modules Page 1 Czechoslovak Mathematical Journal,
56 (131) (2006), 641–648 PRIME AND PRIMARY SUBMODULES OF CERTAIN MODULES …