Results 1 to 10 of about 82,151 (248)
On Weakly Regular Rings and SSF-rings [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2006 In this work we consider weakly regular rings whose simple singular right R-Modules are flat. We also consider the condition (*): R satisfies L(a)Ír(a) for any aÎR. We prove that if R satisfies(*) and whose simple singular right R-module are flat, then Z
Raida Mahmood
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On sπ-Weakly Regular Rings [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2008 A ring R is said to be right(left) sp-weakly regular if for each a Î R and a positive integer n, aÎ aR aR (aÎ R aR a). In this paper, we continue to study sp-weakly regular rings due to R. D. Mahmood and A. M. Abdul-Jabbar [8].
Raida Mahmood, Abdullah Abdul-Jabbar
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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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Canadian Mathematical Bulletin, 1973 This paper attempts to generalize a property of regular rings, namely,I2=Ifor every right (left) ideal. Rings with this property are called right (left) weakly regular. A ring which is both left and right weakly regular is called weakly regular. Kovacs in [6] proved that, for commutative rings, weak regularity and regularity are equivalent conditions ...
V. S. Ramamurthi
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On Sπ Weakly Regular Rings, II [PDF]
AL-Rafidain Journal of Computer Sciences and Mathematics, 2010 The main purpose of this paper is to study right(left) − π S Weakly regular rings. also we give some properties of − π S Weakly regular rings, and the connection between such rings and CS-rings, MGP-rings and SSGPrings.
Shahla Khalil
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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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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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Applicable Algebra in Engineering, Communication and Computing, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Celik, Dilek, Ozbudak, Ferruh
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Journal of Pure and Applied Algebra, 2006 It is well known that weak regularity is equivalent to regularity and biregularity for left Artinian rings. In this paper the authors prove the following result: for a ring \(R\) satisfying the ACC on right annihilators, if \(R\) is left weakly regular then \(R\) is biregular, and that \(R\) is left weakly regular if and only if \(R\) is a direct ...
Hong, Chan Yong +4 more
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PRESIMPLIFIABLE AND WEAKLY PRESIMPLIFIABLE RINGS
Barekeng, 2023 Let be a commutative ring with identity. Two elements and b in are called to be associates if and , or equivalently, if . The generalization of associate relation in R has given the idea for definitions of presimplifiable and weakly presimplifiable
Deby Anastasya, Sri Wahyuni
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