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As a generalization of regular rings, that is a ring is called n-regular if for all . In this paper, we first give various properties of n-regular rings.
Raida Mahmood, Mohammed Youns
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Rings in which Every Simple Right R-Module is Flat [PDF]
The objective of this paper is to initiate the study of rings in which each simple right R-module is flat, such rings will be called right SF-rings. Some important properties of right SF-rings are obtained.
Raida Mahmood
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In this paper we introduce the concept of -clean ring and we discuss some relations between - clean ring and other rings with explaining by some examples. Also, we give some basic properties of it.
Shaimaa S. Esa, Hewa S. Faris
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The negative side of cohomology for Calabi-Yau categories [PDF]
We study integer-graded cohomology rings defined over Calabi-Yau categories. We show that the cohomology in negative degree is a trivial extension of the cohomology ring in non-negative degree, provided the latter admits a regular sequence of central ...
Auslander +12 more
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Regular Rings and Integral Extension of a Regular Ring [PDF]
In this paper we show that a ring (not necessarily commutative) with identity element and without nonzero nilpotent elements is a von Neumann regular ring if every completely prime ideal is a maximal right ideal. Using this result, we show an integral extension (not necessarily commutative) without nonzero nilpotent elements of a regular ring is itself
openaire +2 more sources
On P-Injective Modules And Ɣ-Regular Rings [PDF]
The main purpose of this paper is to study Ɣ-regular rings, and the connection between such rings and weakly regular, π-regular, strongly π-regular, semi π-regular and SNI-rings. We also study P-injective modules, and to find it's relation with Ɣ-regular
Baida S. Abdullah
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Regular overrings of regular local rings [PDF]
The local factorization theorem of Zariski and Abhyankar characterizes all 2 2 -dimensional regular local rings which lie between a given 2 2 -dimensional regular local ring R R and its quotient field as finite quadratic transforms of R R .
openaire +1 more source
A right module M is called Wnil-injective if for any 0 ¹ a Î N( R ), there exists a positive integer n such that an ¹ 0 and any right R-homomorphism f : anR ® M can be extended to R ® M.
Raida Mahmood, Husam Mohammad
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An ideal K of a ring R is called right (left) generalized pure (GP -ideal) if for every a ∈ K, there exists m ∈ Z+, and b ∈ K such that am = am b ( am = b am) . A ring R is called MLGP-ring if every right maximal ideal is left GP-ideal.
Raida mahmood, Ebtehal Mageed
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Dynamics and Stability of Black Rings [PDF]
We examine the dynamics of neutral black rings, and identify and analyze a selection of possible instabilities. We find the dominating forces of very thin black rings to be a Newtonian competition between a string-like tension and a centrifugal force. We
Amitabh Virmani +12 more
core +4 more sources

