Results 21 to 30 of about 82,151 (248)

Torsion of injective modules and weakly pro-regular sequences [PDF]

open access: yesCommunications in Algebra, 2020
Let R a commutative ring, an ideal, I an injective R-module and a multiplicatively closed set. When R is Noetherian it is well-known that the -torsion sub-module the factor module and the localization IS are again injective R-modules.
P. Schenzel, Anne-Marie Simon
semanticscholar   +1 more source

Weakly-morphic modules [PDF]

open access: yesRendiconti del Circolo Matematico di Palermo Series 2, 2022
Let R be a commutative ring, M an R -module and $$\varphi _a$$ φ a be the endomorphism of M given by right multiplication by $$a\in R$$ a ∈ R . We say that M is weakly-morphic if $$M/\varphi _a(M)\cong \ker (\varphi _a)$$ M / φ a ( M ) ≅ ker ( φ a ) as R
Philly Ivan Kimuli, D. Ssevviiri
semanticscholar   +1 more source

weakly $(m,n)$-closed ideals and $(m,n)$-von Neumann regular rings. [PDF]

open access: yes, 2020
Let R be a commutative ring with identity.
David F. Anderson   +2 more
semanticscholar   +1 more source

Rings Over Which Certain Modules Are YJ-Injective [PDF]

open access: yesKirkuk Journal of Science, 2009
In this paper we continue to study the concept of YJ-injectivity which was first introduced by Ming in 1985. Furthermore, we give some characterizations and properties for it.
Abdullah M. Abdul-Jabbar
doaj   +1 more source

On Simple GP – Injective Modules [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2012
In this  paper, we study rings whose simple right R-module are GP-injective. We prove that ring whose simple right R-module is GP-injective it will be right -weakly regular ring.
Mohammed Youns, Najlaa Jassim
doaj   +1 more source

Maximal Generalization of Pure Ideals [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2008
The purpose of this paper is to study the class of the rings for which every maximal right ideal is left GP-ideal. Such rings are called MGP-rings and give some of their basic properties as well as the relation between MGP-rings, strongly regular ring ...
Raida Mahmood, Awreng Mahmood
doaj   +1 more source

Affine weakly regular tensor triangulated categories [PDF]

open access: yes, 2015
We prove that the Balmer spectrum of a tensor triangulated category is homeomorphic to the Zariski spectrum of its graded central ring, provided the triangulated category is generated by its tensor unit and the graded central ring is noetherian and ...
Ivo Dell’Ambrogio, Donald Stanley
semanticscholar   +1 more source

On Rings whose Maximal Essential Ideals are Pure [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2007
This paper introduces the notion of a right MEP-ring (a ring in which every maximal essential right ideal is left pure) with some of their basic properties; we also give necessary and sufficient conditions for MEP – rings to be strongly regular rings and
Raida Mahmood, Awreng Mahmood
doaj   +1 more source

On Properties of Graded Rings with respect to Group Homomorphisms

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2023
Let G be a group and R be a G-graded ring with non-zero unity. The goal of our article is reconsidering some well-known concepts on graded rings using a group homomorphism α:G⟶G. Next is to examine the new concepts compared to the known concepts.
Azzh Saad Alshehry   +2 more
doaj   +1 more source

On WJCP-Injective Rings [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2013
As a generalization of right injective rings, we introduce the nation of right injective rings, that is for any right nonsingular element  of R, there exists a positive integer  and  and any right - homomorphism , there exists  such that  for all .
Raida Mahmood, Shahla Khalil
doaj   +1 more source

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