Results 251 to 260 of about 4,043,219 (290)

On essential extensions of reduced rings and domains

Archiv der Mathematik, 2004
A 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., Fong, Y., Puczyłowski, E. R.   +2 more
openaire   +2 more sources

Near-rings that reduce to rings

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.
openaire   +2 more sources

On reduced rank of triangular matrix rings

Journal of Algebra and Its Applications, 2015
We 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.
openaire   +2 more sources

A Reduced Output Ringing CMOS Buffer

IEEE Transactions on Circuits and Systems II: Express Briefs, 2007
In 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, Paolo Pulici, Pier Paolo Stoppino, Giovanni Campardo, Gian Pietro Vanalli   +4 more
openaire   +1 more source

Actions of Lie Superalgebras on Reduced Rings

Algebras and Representation Theory, 2007
The 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, Grzeszczuk, Piotr, Hryniewicka, Małgorzata   +2 more
openaire   +1 more source

Reduced Near-Rings

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
openaire   +1 more source

A note on connected reduced rings

Journal of Commutative Algebra, 2021
This short note illustrates a constructive proof of a characterisation of reduced and connected rings, whereas the cassical proof makes an apparently fundamental use of prime ideals and Krull's Lemma. Avoiding these constructively non-admissible tools has been achieved by using instead radical ideals and their properties, which are constructively ...
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A Simple Proof of a Theorem on Reduced Rings

Canadian Mathematical Bulletin, 1980
We give a simple proof of a theorem by Andrunakievič and Rjabuhin which states that a reduced ring is a subdirect product of entire rings. Our proof makes no use of m-systems and is in some sense similar to the proof of the corresponding theorem in the commutative case due to Krull.A reduced ring is a ring without non-zero nilpotent elements.
openaire   +1 more source

NPP RINGS, REDUCED RINGS AND SNF RINGS

2008
A 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
openaire   +1 more source

Rings decomposed into direct sums of nil rings and certain reduced rings

Mathematical Journal of Okayama University, 1985
Let R be a ring, E the set of idempotents of R, and N the set of nilpotents. For \(x\in R\), denote by r(x) the right annihilator of x; call x a right p.p. element if there exists \(e\in E\) such that \(xe=x\) and \(r(x)=r(e)\). Let P be the set of all right p.p. elements, and call R a generalized right p.p.
Hirano, Yasuyuki, Tominaga, Hisao
openaire   +3 more sources