Results 31 to 40 of about 737,584 (193)

A quasi-commutative ring that is not neo-commutative

open access: yes, 1994
An example of a ring that is quasi-commutative but not neo-commutative is given.
Irving Kaplansky
core   +1 more source

On Semiprime Noetherian PI-Rings [PDF]

open access: yes, 2000
Let R be a semiprime Noetherian PI-ring and Q(R) the semisimple Artinian ring of fractions of R. We shall prove the following conditions are equivalent: (1) the Krull dimention of R is at most one, (2) Any ring between R and Q(R) is again right ...
Chiba, Katsuo
core   +1 more source

Some Results On Lie Ideals With (σ,τ)-derivationIn Prime Rings

open access: yesمجلة بغداد للعلوم, 2009
In this paper, we proved that if R is a prime ring, U be a nonzero Lie ideal of R , d be a nonzero (?,?)-derivation of R. Then if Ua?Z(R) (or aU?Z(R)) for a?R, then either or U is commutative Also, we assumed that Uis a ring to prove that: (i) If Ua?Z(R)
Baghdad Science Journal
doaj   +1 more source

Semidegenerate Congruence-modular Algebras Admitting a Reticulation

open access: yesScientific Annals of Computer Science, 2023
The reticulation L(R) of a commutative ring R was introduced by Joyal in 1975, then the theory was developed by Simmons in a remarkable paper published in 1980. L(R) is a bounded distributive algebra whose main property is that the Zariski prime
George Georgescu
doaj   +1 more source

Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley   +1 more source

A Comprehensive Review of Fault‐Current Limiter Technologies for Smart and Resilient Power Systems

open access: yesEnergy Science &Engineering, EarlyView.
This review compares superconducting, solid‐state, and hybrid fault‐current limiters (FCLs) for modern alternating current, direct current, and hybrid grids. It shows that optimal FCL selection depends on fault characteristics, network configuration, voltage level, protection coordination, and resilience requirements rather than on a universally ...
Abdelrahman Farghly   +5 more
wiley   +1 more source

Continuous functions with compact support

open access: yesApplied General Topology, 2004
The main aim of this paper is to investigate a subring of the ring of continuous functions on a topological space X with values in a linearly ordered field F equipped with its order topology, namely the ring of continuous functions with compact support ...
Sudip Kumar Acharyya   +2 more
doaj   +1 more source

Centrally Prime Rings which are Commutative [PDF]

open access: yesKirkuk Journal of Science, 2006
In this paper the definition of centrally prime rings is introduced , our main purpose is to classify those centrally prime rings which are commutative and so that several conditions are given each of which makes a centrally prime ring commutative.
Adil K.Jabbar
doaj   +1 more source

Hilbert's Basis Theorem for Poisson Ore Extensions

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT We prove an analogue of Hilbert's basis theorem for Poisson Ore extensions and Poisson Laurent Ore extensions. We also obtain corresponding results for iterated Poisson Ore extensions and iterated Poisson Laurent Ore extensions associated to commuting Poisson‐pairs.
Per Bäck   +3 more
wiley   +1 more source

Graded Differential Polynomial Rings

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT We study differential polynomial rings R[t;δ]$R[t;\delta]$ over Γ$\Gamma$‐graded rings, where Γ$\Gamma$ is an arbitrary group. We show that R[t;δ]$R[t;\delta]$ admits a Γ$\Gamma$‐grading compatible with that of R$R$ if and only if δ$\delta$ is a γ$\gamma$‐derivation for some γ∈CΓ(ΓR)$\gamma \in C_\Gamma (\Gamma _R)$, and that this grading is ...
Yassine Ait Mohamed
wiley   +1 more source

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