Results 1 to 10 of about 187,447 (246)
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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Near-rings that reduce to rings [PDF]
Bulletin of the Australian Mathematical Society, 1977 It is shown that a near-ring is a ring if it is generated by a group of automorphisms of its additive group that contains all inner automorphisms.
Stuart D. Scott
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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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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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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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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 Commutative Reduced Baer Rings [PDF]
Journal of Sciences, Islamic Republic of Iran, 2004 It is shown that a commutative reduced ring R is a Baer ring if and only if it is a CS-ring; if and only if every dense subset of Spec (R) containing Max (R) is an extremally disconnected space; if and only if every non-zero ideal of R is essential in a ...
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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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