[PDF][PDF] Dual notions of prime modules
IM Ali, RI Khalaf - Ibn Al-Haitham journal for pure and applied science, 2017 - iasj.net
Let R be a commutative ring with unity. M an R-Module. M is called coprime module (dual
notion of prime module) if ann M= ann M/N for every proper submodule N of M In this paper …
notion of prime module) if ann M= ann M/N for every proper submodule N of M In this paper …
[PDF][PDF] Quasi–essentially pseudo–prime modules
NJM Al-Obaidy - Tikrit journal of pure science, 2016 - iasj.net
Let R be a commutative ring with identity and M be a unitary R-module. In this paper we
introduce the concept Quasi-essentially pseudo-prime module as a generalization of a …
introduce the concept Quasi-essentially pseudo-prime module as a generalization of a …
[PDF][PDF] 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 …
primeful property), that was defined and studied in Part I (see [8]). We define a quasi-primary …
[PDF][PDF] Generalization of Semi Regular Modules
AA Hassan, HQ Hamdi - researchgate.net
Sample Page 1 Sample *E-mail: aselamer16@gmail.com † E-mail: halahamdi73@gmail.com
© Journal Template File Generalization of Semi Regular Modules Aseel Amer Hassan * Hala …
© Journal Template File Generalization of Semi Regular Modules Aseel Amer Hassan * Hala …
Classical 2-absorbing submodules of modules over commutative rings
H Mostafanasab, U Tekir, KH Oral - arXiv preprint arXiv:1505.06564, 2015 - arxiv.org
In this article, 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 …
A proper submodule $ N $ of $ M $ is called a classical prime submodule, if for each $ m\in …
[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 …
Algebra, Vol. 2, 2008, no. 20, 995 - 998 When an Irreducible Submodule is Primary A …
Quasi regular modules and trivial extension
S KOÇ - 2020 - openaccess.marmara.edu.tr
Recall that a ring R is said to be a quasi regular ring if its total quotient ring q (R) is von
Neumann regular. It is well known that a ring R is quasi regular if and only if it is a reduced …
Neumann regular. It is well known that a ring R is quasi regular if and only if it is a reduced …
Strongly prime submodules
AR Naghipour - Communications in Algebra, 2009 - Taylor & Francis
Let R be a commutative ring with identity. For an R-module M, the notion of strongly prime
submodule of M is defined. It is shown that this notion of prime submodule inherits most of …
submodule of M is defined. It is shown that this notion of prime submodule inherits most of …
P-semiprime Submodules.
HA Tavallaee, MJ Nikmehr - Southeast Asian Bulletin of …, 2006 - search.ebscohost.com
Let R be a commutative ring with identity and M a unitary R-module. Some properties of
prime submodules of an R-module M have been discussed. In this paper, we investigate the …
prime submodules of an R-module M have been discussed. In this paper, we investigate the …
Idealization of a module
DD Anderson, M Winders - Journal of commutative algebra, 2009 - JSTOR
Let 𝑅 be a commutative ring and 𝑀 an 𝑅-module. Nagata introduced the idealization 𝑅 (+) 𝑀
of 𝑀. Here 𝑅 (+) 𝑀= 𝑅⊕ 𝑀 (direct sum) is a commutative ring with product (𝑟₁, 𝑚₁)(𝑟₂ …
of 𝑀. Here 𝑅 (+) 𝑀= 𝑅⊕ 𝑀 (direct sum) is a commutative ring with product (𝑟₁, 𝑚₁)(𝑟₂ …