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Al-Rafidain Journal of Computer Sciences and Mathematics, 2007 The purpose of this paper is to study a new class of rings R in which, for each a Î R, aÎ aR aR, for some positive integer n. Such rings are called sp-weakly regular rings and give some of their basic properties as well as the relation between sp-weakly
Raida Mahmood, Abdullah Abdul-Jabbar
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On n-Weakly Regular Rings [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2012 As a generalization of right weakly regular rings, we introduce the notion of right n-weakly regular rings, i.e. for all aN(R), aaRaR. In this paper, first give various properties of right n-weakly regular rings.
Raida Mahammod, Mohammed Al-Neimi
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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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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) Weakly regular rings. also we give some properties of Weakly regular rings, and the connection between such rings and CS-rings, MGP-rings and SSGP-rings.
Shahla Khalil
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On almost s-weakly regular rings
Turkish Journal of Mathematics, 2022 The paper under review is devoted to the comprehensive study of almost s-weakly regular rings. In fact, an element \(a\in R\) of a ring \(R\) is called \textit{s-weakly regular}, provided \(a\in aRa^2R\). If each element of \(R\) is s-weakly regular, the ring \(R\) is respectively also caled \textit{s-weakly regular}.
Jangra, Kanchan, Udar, Dinesh
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Some properties on group-graded weakly regular rings(群分次弱正则环的若干性质)
Zhejiang Daxue xuebao. Lixue ban, 2006 首先引入群分次弱正则环的概念，在此基础上证明了 ：(1)设G是群，J是K的分次理想，Jσ=Kσ∩J，则K是群分次弱正则环当且仅当J和K/J是群分次弱正则环.(2)假设K是一个环，n是任一正整数，则K是群分次弱正剐的当且仅当Mn(K）是群分次弱正则的.如果K是群G分次环，则Ke是K的子环，且1∈Ke（其中e是群G的单位元）.得到了群G-分次环K与Ke的一些关系.再者，引进了分次半平坦模的概念，并有如下主要结果：环K是分次弱正则的当且仅当所有右K-模是分次半平坦的.群分次弱正则环推广了群分次正则环 ...
WANGGuo-jun(汪国军)
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Al-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
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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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Al-Rafidain Journal of Computer Sciences and Mathematics, 2008 The main purpose of this paper is to study CS-rings. We give some properties of right CS-rings and the connection between such rings and reduced rings, regular rings, strongly regular rings, and S-weakly regular rings.
Anas Youns AL-Mashhdanny +1 more
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