Results 291 to 300 of about 664,134 (330)
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2013
Let R be a ring with identity and J(R) denote the Jacobson radical ofR. In this paper, we introduce a new class of rings called feckly reducedrings. The ring R is called feckly reduced if R/J(R) is a reduced ring.We investigate relations between feckly reduced rings and other classesof rings.
UNGOR, Burcu +3 more
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Let R be a ring with identity and J(R) denote the Jacobson radical ofR. In this paper, we introduce a new class of rings called feckly reducedrings. The ring R is called feckly reduced if R/J(R) is a reduced ring.We investigate relations between feckly reduced rings and other classesof rings.
UNGOR, Burcu +3 more
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1987
Abstract In this paper we introduce a partial order relation in a reduced near-ring and show that the set of all idempotents of a reduced near-ring with identity forms a Boolean algebra under this partial ordering. Further we introduce the notions hyper atom and orthogonal subsets in a reduced near-ring with identity and show that a reduced near-ring
D. Ramakotaiah, V. Sambasivarao
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Abstract In this paper we introduce a partial order relation in a reduced near-ring and show that the set of all idempotents of a reduced near-ring with identity forms a Boolean algebra under this partial ordering. Further we introduce the notions hyper atom and orthogonal subsets in a reduced near-ring with identity and show that a reduced near-ring
D. Ramakotaiah, V. Sambasivarao
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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, A.K. Elhakeem
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NPP RINGS, REDUCED RINGS AND SNF RINGS
2008A ring R is called left NP P if for any nilpotent element a of R, l(a) = Re, e2 = e ∈ R. A right R−module M is called N f lat if for each a ∈ N(R), the Z−module map 1M ⊗ i : M ⊗R Ra −→ M ⊗R R is monic, where i : Ra ,→ R is the inclusion map. A ring R is called right SNF if every simple right R−module is N f lat. In this paper, we first show that a ring
WEİ, Junchao, CHEN, Jianhua
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Modules with reduced endomorphism rings
Journal of Algebra and Its ApplicationsIn this paper, we study endo-reduced modules as modules whose endomorphism rings have no nonzero nilpotent elements. We characterize their properties for different classes of modules, including [Formula: see text]-non-singular modules, multiplication modules and finitely generated modules over commutative Dedekind domains.
Philly Ivan Kimuli, David Ssevviiri
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Reduced morphisms and Nagata rings
Archiv der Mathematik, 1993The paper is mainly devoted to a generalization of a criterion for Nagata rings given previously by \textit{K. Langmann} [Arch. Math. 55, No. 2, 139- 142 (1990; Zbl 0675.13007)]. The present generalization includes, among others, the case of arbitrary characteristic which was not covered by the paper cited above.
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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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Actions of Lie Superalgebras on Reduced Rings
Algebras and Representation Theory, 2007The authors consider actions of finite-dimensional Hopf algebras on reduced and graded-reduced algebras and study the question of when the subalgebra of invariants is non-zero. The first result says that if \(R\) is a graded-reduced ring of characteristic \(p>2\) acted on by a finitely generated restricted \(K\)-Lie superalgebra \(L\), where \(K\) is a
Bergen, Jeffrey +2 more
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Commutative reduced filial rings
2019A ring R is filial when for every I, J, if I is an ideal of J and J is an ideal of R then I is an ideal of R. Several characterizations and results on structure of commutative reduced filial rings are obtained.
Andruszkiewicz, R.R., Sobolewska, M.
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