Results 61 to 70 of about 16,929 (257)
Semiartinian V-Rings and Semiartinian Von Neumann Regular Rings
Journal of Algebra, 1995 A ring \(R\) is called a right \(SV\)-ring if \(R\) is a right semiartinian ring (i.e. every nonzero right module has nonzero socle) and a right \(V\)- ring (i.e. every simple right module is injective). The paper under review presents an extensive investigation on the class of right \(SV\)- rings, which in fact form a special class of von Neumann ...
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THE REALIZATION PROBLEM FOR VON NEUMANN REGULAR RINGS [PDF]
Ring Theory 2007, 2008 We survey recent progress on the realization problem for von Neumann regular rings, which asks whether every countable conical refinement monoid can be realized as the monoid of isoclasses of finitely generated projective right $R$-modules over a von Neumann regular ring $R$.
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, 2014 We will discuss modules whose endomorphism rings are von Neumann regular, which we call endoregular modules. Characterizations and properties of endoregular modules will be presented.
Rizvi, Tariq
core
Lifting retracted diagrams with respect to projectable functors
, 2004 We prove a general categorical theorem that enables us to state that under certain conditions, the range of a functor is large. As an application, we prove various results of which the following is a prototype: If every diagram, indexed by a lattice, of ...
Wehrung, Friedrich
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Advanced Science, EarlyView.We propose an optical ferroelectric field‐effect transistor, composed of a MoS2/CIPS heterostructure, demonstrates the feasibility of all‐optical nonvolatile memory, neuromorphic computing, and logic‐in‐memory operations. The device exhibits reversible light‐controlled memory states, retina‐like synaptic plasticity, and wavelength‐selective ...
Jingjie Niu +7 more
wiley +1 more source
On Weakly von Neumann regular rings
, 2009 In this paper, we define and study a particular case of von Neumann regular notion called a weak von Neumann regular ring. It shown that the polynomial ring $R[x]$ is weak von Neumann regular if and only if $R$ has exactly two idempotent elements. We provide necessary and sufficient conditions for $ R=A\propto E $ to be a weak von Neumann ring.
Kabbour, Mohammed, Mahdou, Najib
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Smart Optogenetics for Real‐Time Automated Control of Cardiac Electrical Activity
Advanced Science, EarlyView.We are able to stop dangerous heart‐rhythm spirals before they fully form. Within about 100 ms, it pinpoints the spiral's tiny central tip (≈0.9 mm) using light‐based sensing and machine learning, then shines targeted light to shut it down. This fast, precise, closed‐loop approach detects, targets, and terminates arrhythmias in real time.
Shanliang Deng +15 more
wiley +1 more source
K 1 of a Commutative von Neumann Regular Ring [PDF]
Proceedings of the American Mathematical Society, 1972 Let A be a commutative regular ring (in the sense of von Neumann), and let q be an ideal in A. Then K 1 ( A , q ) = U ( A , q ) {K_1}(A,q) = U(A,q) .
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Advanced Science, EarlyView.A plasmonic optoelectronic memristor based on Te nanowires‐Au nanoparticles/ι‐carrageenan enables IR‐programmed and visiblelight‐erased non‐volatile conductance. The all‐photonic write/erase scheme supports in‐sensor logic and real‐time motion detection in darkness.
Jingyao Bian +7 more
wiley +1 more source
Some Results on W-regular Rings
NTU Journal of Pure SciencesVon Neumann regular rings, introduced in 1936, form a cornerstone of abstract algebra and were later extended to weakly regular rings. This work considers another extension, the W-regular rings defined by Wei [6], and explores their properties and ...
Hazim Tallat Hazim
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