Results 11 to 20 of about 664,134 (330)
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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Rings in which Every Simple Right R-Module is Flat [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2004 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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On Rings Whose Principal Ideals are Pure [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2006 In this work, we study rings whose every principal ideal is a right pure. We give some properties of right PIP – rings and the connection between such rings and division rings.
Shaimaa Ahmad
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Al-Rafidain Journal of Computer Sciences and Mathematics, 2012 As a generalization of regular rings, we introduce the notion, of m-regular rings, that is for all , there is a fixed positive integer m such that is a Von-Neumann regular element. Some characterization and basic properties of these rings will be given.
Zubayda Ibraheem, Maha Khalaf
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Al-Rafidain Journal of Computer Sciences and Mathematics, 2010 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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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 reduced archimedean skew power series rings [PDF]
Journal of Algebra and Its Applications, 2020 In this paper, we prove that if [Formula: see text] is an Archimedean reduced ring and satisfy ACC on annihilators, then [Formula: see text] is also an Archimedean reduced ring. More generally, we prove that if [Formula: see text] is a right Archimedean ring satisfying the ACC on annihilators and [Formula: see text] is a rigid automorphism of [Formula:
Mousavi, Hamed +2 more
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Al-Rafidain Journal of Computer Sciences and Mathematics, 2011 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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Polynomial rings over commutative reduced Hopfian local rings [PDF]
Acta Mathematica Hungarica, 2017 7 pages, no ...
Dhorajia, A. M., Mukherjee, H.
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Armendariz Rings and Reduced Rings
Journal of Algebra, 2000 According to \textit{D. D. Anderson} and \textit{V. Camillo} [Commun. Algebra 26, No. 7, 2265-2272 (1998; Zbl 0915.13001)], a ring \(R\) is called Armendariz if whenever polynomials \(f(x)=a_0+a_1x+\cdots+a_m x^m\) and \(g(x)=b_0+b_1x+\cdots+b_nx^n\) in \(R[x]\) satisfy \(f(x)g(x)=0\), then \(a_ib_j=0\) for each \(i\), \(j\). It is shown that if a ring
Kim, Nam Kyun, Lee, Yang
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