Results 1 to 10 of about 4,018,839 (226)
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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Ring D-Modified and Highly Reduced Angucyclinones From Marine Sediment-Derived Streptomyces sp.
Frontiers in Chemistry, 2021 Angucyclines and angucyclinones represent the largest family of type II PKS-engineered natural products. Chemical analysis of a marine Streptomyces sp. KCB-132 yielded three new members, actetrophenone A (1) and actetrophenols A–B (2–3). Their structures
Lin Guo +7 more
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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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A Note on Amalgamated Rings Along an Ideal
Annales Mathematicae Silesianae, 2021 Ring properties of amalgamated products are investigated. We offer new, elementary arguments which extend results from [5] and [12] to noncommutative setting and also give new properties of amalgamated rings.
Nowakowska Marta
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HYPERIDEALS IN M-POLYSYMMETRICAL HYPERRINGS [PDF]
Journal of Algebraic Systems, 2019 An M-polysymmetrical hyperring $(R,+,cdot )$ is an algebraic system, where $(R,+)$ is an M-polysymmetrical hypergroup, $(R,cdot )$ is a semigroup and $cdot$ is bilaterally distributive over $+$.
M. A. Madani, S. Mirvakili, B. Davvaz
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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
Kim, Nam Kyun, Lee, Yang
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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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ON THE NILPOTENT DOT PRODUCT GRAPH OF A COMMUTATIVE RING [PDF]
Journal of Algebraic SystemsLet $\mathscr{B}$ be a commutative ring with $1\neq 0$, $1\leq ...
Asma Ali, Bakhtiyar Ahmad
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ON THE DOMINATION NUMBER OF THE SUM ANNIHILATING IDEAL GRAPH OF A COMMUTATIVE RING AND ON THE DOMINATION NUMBER OF ITS COMPLEMENT [PDF]
Journal of Algebraic SystemsThe rings considered in this article are commutative with identity which are not integral domains. Let R be a ring. The sum annihilating ideal graph of R is an undirected graph whose vertex set is the set of all non-zero annihilating ideals of R and ...
Subramanian Visweswaran, Patat Sarman
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