Results 181 to 190 of about 4,289,373 (226)
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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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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Extensions of Generalized Reduced Rings
Algebra Colloquium, 2005Anderson and Camillo studied the class of rings satisfying ZCn for n ≥ 2, which is a generalization of reduced rings. In this paper, we continue the study of such rings. We observe several extensions of rings satisfying ZCn. Rings satisfying the zero insertion property for n (simply, ZIn), which is a generalization of ZCn, are also introduced.
Tai Keun Kwak
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Hacettepe Journal of Mathematics and Statistics, 2015
Let R be a ring with identity and J(R) denote the Jacobson radical of R. In this paper, we introduce a new class of rings called feckly reduced rings. The ring R is called feckly reduced if R=J(R) is a reduced ring. We investigate relations between feckly reduced rings and other classes of rings.
UNGOR, Burcu +3 more
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Let R be a ring with identity and J(R) denote the Jacobson radical of R. In this paper, we introduce a new class of rings called feckly reduced rings. The ring R is called feckly reduced if R=J(R) is a reduced ring. We investigate relations between feckly reduced rings and other classes of rings.
UNGOR, Burcu +3 more
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A bandwidth reducing token ring
Computer Networks and ISDN Systems, 1991Abstract Bandwidth restrictions limit the use of twisted pair wires that are so convenient for building networks. A new design for token rings using twisted pair wires is presented. Bandwidth compression is achieved through the use of an adapter that generates a duobinary signal and is transparent to the users.
P. Chung, Ahmed K. Elhakeem
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On essential extensions of reduced rings and domains
Archiv der Mathematik, 2004A ring is a left essential extension of a reduced ring (domain) if it contains a left ideal which is a reduced ring (domain) and intersects nontrivially every nonzero twosided ideal of the ring. It is known that if \(I\) is a reduced ring which is an essential ideal of a ring \(R\), then \(R\) itself is a reduced ring.
Beidar, K. I. +2 more
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Near-rings that reduce to rings
Bulletin of the Australian Mathematical Society, 1977It 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.
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On reduced rank of triangular matrix rings
Journal of Algebra and Its Applications, 2015We determine conditions under which a generalized triangular matrix ring has finite reduced rank, in the general torsion-theoretic sense. These are applied to characterize certain orders in Artinian rings, and to show that if each homomorphic image of a ring S has finite reduced rank, then so does the ring of lower triangular matrices over S.
Bailey, Abigail C., Beachy, John A.
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A Reduced Output Ringing CMOS Buffer
IEEE Transactions on Circuits and Systems II: Express Briefs, 2007In a multichip module, the parasitic elements of the interconnections influence the performance of the devices enclosed in the package. Phenomena such as ground bounce, cross-talk, propagation delay, and over/undershoot will degrade the data signal integrity. This brief describes an output buffer structure, consisting of a double feedback loop.
Michele Bartolini +4 more
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REDUCING THE RISK OF RING SHAKE IN CHESTNUT
Acta Horticulturae, 2005This contribution presents results of a 3 year project on chestnut (Castanea sativa Mill.) ring shake (RS). The main objective was the examination of the relationships between radial wood cohesion, growth stresses and RS occurrence. Investigative studies were carried out on wood material collected in chestnut coppice forests from the southern part of ...
Fonti, Patrick, Giudici, Fulvio
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