Results 1 to 10 of about 184,408 (159)
On p.p.-rings which are reduced [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 Denote the 2×2 upper triangular matrix rings over ℤ and ℤp by UTM2(ℤ) and UTM2(ℤp), respectively. We prove that if a ring R is a p.p.-ring, then R is reduced if and only if R does not contain any subrings isomorphic to UTM2(ℤ) or UTM2(ℤp).
Xiaojiang Guo, K. P. Shum
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Reduced p.p.-rings without identity [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 We give some necessary and sufficient conditions for p.p.-rings without identity to be reduced. Our results strengthen and extend the results of Fraser and Nicholson as well as some recent results we obtained on reduced p.p.-rings with identity.
Xiaojiang Guo, K. P. Shum
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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
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مجلة بغداد للعلوم, 2008 The main purpose of this paper is to study some results concerning reduced ring with another concepts as semiprime ring ,prime ring,essential ideal ,derivations and homomorphism ,we give some results a bout that.
Baghdad Science Journal
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Communications in Algebra, 2004 Abstract A ring R is called Armendariz if, whenever in R[x], a i b j = 0 for all i and j. In this paper, some “relatively maximal” Armendariz subrings of matrix rings are identified, and a necessary and sufficient condition for a trivial extension to be Armendariz is obtained. Consequently, new families of Armendariz rings are presented.
Tsiu-Kwen Lee, Yiqiang Zhou
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Sensors, 2022 This paper presents the application of CORPS (coherently radiating periodic structures) for feeding CRA (concentric rings array) with a reduced number of phase shifters.
Brian Sanchez +4 more
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On Almost WJCP-Injective Rings [PDF]
مجلة التربية والعلم, 2019 Let R be a ring. The ring is called right almost WJCP-injective. If for any , (right non singular) there exists a left ideal of such that . In this paper, we give some characterization and properties of almost WJCP-injective rings, which are proper ...
Shaima Ahmed, Raed Mahmoud
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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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A GENERALIZATION OF REDUCED RINGS
Journal of Algebra and Its Applications, 2012 Let R be a ring with identity. We introduce a class of rings which is a generalization of reduced rings. A ring R is called central rigid if for any a, b is an element of R, a(2)b = 0 implies ab belongs to the center of R. Since every reduced ring is central rigid, we study sufficient conditions for central rigid rings to be reduced. We prove that some
KOSE, Handan +2 more
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Dermatology Practical & Conceptual, 2023 Introduction: The diagnosis of vitiligo is mainly based on clinical findings. However, dermoscopy or reflectance confocal microscopy (RCM) could be useful for assessing its progression (stability, pigmentation, or depigmentation).
Juan Alberto Godínez-Chaparro +3 more
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