Results 21 to 30 of about 51,002 (217)
On Simple GP – Injective Modules [PDF]
Al-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
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On Properties of Graded Rings with respect to Group Homomorphisms
International 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
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Strongly regular graphs from weakly regular plateaued functions [PDF]
, 2018 The paper provides the first constructions of strongly regular graphs and association schemes from weakly regular plateaued functions over finite fields of odd characteristic.
Mesnager, Sihem, Sınak, Ahmet
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Castelnuovo-Mumford regularity and extended degree [PDF]
, 2002 The main result of this paper shows that the Castelnuovo-Mumford regularity of the tangent cone of a local ring is effectively bounded by the dimension and any extended degree.
Rossi, Maria Evelina +2 more
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Left prime weakly regular near-rings
Tamkang Journal of Mathematics, 2005 In this paper we introduce the notion of left prime weakly regular, left primeweakly $ \pi $-regular and left prime pseudo $ \pi $-regular near-rings. We alsointroduce the concept of strong left prime weakly regular near-rings. We haveobtained conditions for a near-ring $ N $ to be left prime pseudo $ \pi $-regular.We have also obtained conditions for ...
Dheena, P., Sivakumar, D.
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Fields and rings with few types [PDF]
, 2011 Let R be an associative ring with possible extra structure. R is said to be weakly small if there are countably many 1-types over any finite subset of R. It is locally P if the algebraic closure of any finite subset of R has property P.
Cohn +13 more
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The generating hypothesis in the derived category of a ring [PDF]
, 2006 We show that a strong form (the fully faithful version) of the generating hypothesis, introduced by Freyd in algebraic topology, holds in the derived category of a ring R if and only if R is von Neumann regular. This extends results of the second author.
Hovey, Mark +2 more
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Note on weakly nil clean and π-regular rings
Filomat, 2023 Let R be a commutative ring with identity 1 ? 0. The ring R is called weakly nil clean if every element x of R can be written as x = n + e or x = n ? e, where n is a nilpotent element of R and e is an idempotent element of R. The ring R is called weakly nil neat if every proper homomorphic image of R is weakly nil clean. Among other results,
Khaled Alhazmy +3 more
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On n-flat modules and n-Von Neumann regular rings
International Journal of Mathematics and Mathematical Sciences, 2006 We show that each R-module is n-flat (resp., weakly n-flat) if and only if R is an (n,n−1)-ring (resp., a weakly (n,n−1)-ring). We also give a new characterization of n-Von Neumann regular rings and a characterization of weak n-Von Neumann regular rings ...
Najib Mahdou
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Weakly Semicommutative Rings and Strongly Regular Rings
Kyungpook mathematical journal, 2014 A ring R is called weakly semicommutative ring if for any a, b ∈ R∗ = R \ {0} with ab = 0, there exists n ≥ 1 such that either a = 0 and aRb = 0 or b = 0 and aRb = 0. In this paper, many properties of weakly semicommutative rings are introduced, some known results are extended. Especially, we show that a ring R is a strongly regular ring if and only if
Long Wang, Junchao Wei
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