Results 81 to 90 of about 32,058 (259)

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 $R$.
openaire   +2 more sources

Indecomposable Decomposition and couniserial dimension

, 2014
Dimensions like Gelfand, Krull, Goldie have an intrinsic role in the study of theory of rings and modules. They provide useful technical tools for studying their structure.
Ghorbani, A., Jain, S. K., Nazemian, Z.
core   +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
openaire   +2 more sources

On Self-Injectivity and p-Injectivity [PDF]

, 2005
A generalization of injectivity is studied and several properties are developed. Von Neumann regular rings are characterized. Sufficient conditions are given for a ring to admit a strongly regular classical left quotient ring.
Yue Chi Ming, Roger
core   +1 more source

WS2 Optoelectronic Memristive Reservoir Enabling Ultra‐Low‐Power, Multi‐Task, and Environmentally Stable Neuromorphic Computing

Advanced Science, EarlyView.
WS2‐based in‐memory sensing reservoir computing integrates sensing, memory, and computation in one compact device. It achieves ∼94% N‐MNIST, ∼93% eye motion perception, and ∼89% speech recognition with ultra‐low energy (∼25.5 fJ/spike). The system shows stability at 95% humidity, endurance over 1.5M cycles, and supports synaptic plasticity, enabling ...
Dayanand Kumar, Hanrui Li, Divyanshu Divyanshu, Dhananjay D. Kumbhar, Manoj Kumar Rajbhar, Amit Singh, Abdul Momin Syed, Selma Amara, Gianluca Setti, Nazek El‐Atab   +9 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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CMOS‐Integrated Synaptic Photoreceptor Chip Inspired by Insect Visual Processing

Advanced Science, EarlyView.
CMOS‐integrated Si QDs/ReS2 synaptic photoreceptor array mimics the parallel processing and wavelength‐selective strategy of insect vision. By combining intrinsic ultraviolet‐violet sensitivity with synaptic plasticity, the chip enables frontend sensory redundancy reduction without external filters, offering a scalable pathway toward lowpower ...
Jian Chai, Xinyi Xu, Yue Wang, Xiaochen Wang, Hailiang Wang, Yunfei Xie, Xinwei Zhang, Haoyu Wang, Hao Ning, Jiangming Lin, Yongliang Xie, Qihai Jiang, Baoshi Qiao, Xiaolei Ding, Luyao Ma, Shukai Duan, Zhenyi Ni, Huan Hu, Xin He, Fei Xue, Feichi Zhou, Lingfei Li, Srikrishna Chanakya Bodepudi, Rui Yuan, Bin Yu, Yang Xu   +25 more
wiley   +1 more source

Neuromorphic Motor Control with Electrolyte‐Gated Organic Synaptic Transistors

Advanced Electronic Materials, EarlyView.
Electrolyte‐gated organic synaptic transistor (EGOST)‐based neuromorphic motor control systems integrate sensing, processing, and actuation by mimicking biological synapses. With advantages such as low power consumption, tunable synaptic plasticity, and mechanical flexibility, they are emerging as next‐generation core technologies for real‐time ...
Sung‐Hwan Kim, Ju‐Hyeok Yun, Hea‐Lim Park, Sin‐Hyung Lee   +3 more
wiley   +1 more source

Von Neumann Regularity of V-Rings with Artinian Primitive Factor Rings [PDF]

Proceedings of the American Mathematical Society, 1988
LetRRbe a ring whose right primitive factor rings are artinian. It is a known result that ifRRis von Neumann regular, thenRRis a rightVV-ring, that is, all simple rightRR-modules are injective. In the present work we prove that the converse holds.
openaire   +1 more source

Organic Thin‐Film Transistors for Neuromorphic Computing

Advanced Electronic Materials, EarlyView.
Organic thin‐film transistors (OTFTs) are reviewed for neuromorphic computing applications, highlighting their power‐efficient, and biological time‐scale operation. This article surveys OFET and OECT devices, compares them with memristors and CMOS, analyzes how fabrication parameters shape spike‐based metrics, proposes standardized characterization ...
Luke McCarthy, Mohan V. Jacob, Mostafa Rahimi Azghadi   +2 more
wiley   +1 more source