Results 71 to 80 of about 5,838,381 (260)

Ext and von Neumann regular rings [PDF]

Czechoslovak Mathematical Journal, 1985
A ring R is called a left T-ring if \(Ext_ R(M,N)\neq 0\) for each non- projective module M and each non-injective module N. In the paper, the following results are proved: 1) Let R be a von Neumann regular ring. If R is a T-ring, then each left ideal of R is countably generated. 2) Let R be a simple countable regular ring.
openaire   +2 more sources

Volatile ZrO2 Antiferroelectric Tunnel Junctions for Rapid, Energy‐Efficient Physical Reservoir Computing

Advanced Science, EarlyView.
An antiferroelectric tunnel junction serves as a reservoir computing node, where field‐induced phase transitions and spontaneous ZrO2 relaxation deliver nonlinear fading memory. An In‐Ga‐Zn oxide interlayer enlarges the memory margin and multibit state richness.
Taegyu Kwon, Moonseek Jeong, Su In Hwang, Geun Hyeong Park, Joonyong Kim, Hyojun Choi, Hyeong Seok Choi, Da Hyun Kim, Dong Hee Han, Ju Yong Park, Seungho Baek, Jung Ho Yoon, Dong Hyun Lee, Min Hyuk Park   +13 more
wiley   +1 more source

Rings Whose Pure-Projective Modules Have Maximal or Minimal Projectivity Domain

Journal of New Theory
In this study, we investigate the projectivity domain of pure-projective modules. A pure-projective module is called special-pure-projective (s-pure-projective) module if its projectivity domain contains only regular modules. First, we describe all rings
Zübeyir Türkoğlu
doaj   +1 more source

A valuation ring analogue of von Neumann regularity

Annals of Pure and Applied Logic, 2007
The author unifies results on certain (Rumely) domains, arising from the work of \textit{A.~Macintyre} and \textit{L.~van den Dries} [``The logic of Rumely's local-global principle'', J.~Reine Angew.~Math. 407, 33--56 (1990; Zbl 0703.13021)], and \textit{A.~Prestel} and \textit{J.~Schmid} [``Existentially closed domains with radical relations'', J ...
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Battery‐Inspired Electrochemical Synapses for Neuromorphic Applications

Advanced Science, EarlyView.
Battery‐ion‐inspired synaptic devices integrate diverse electrolyte systems (solid, ion‐gel, liquid) with transition metal oxides, two‐dimensional materials, and organic channels to regulate ion‐electron coupling. By tailoring ion transport and host interactions, these platforms enable controllable plasticity and energy‐efficient implementations for ...
Won Woo Lee, SeongCheol Jang, Wangmyung Choi, Jaewon Park, Jaehyun Hur, Hocheon Yoo, Hyun‐Suk Kim   +6 more
wiley   +1 more source

Coexisting Volatile and Nonvolatile Switching in 3D ALD‐IGZO Vertical RRAM for Fully Hardware‐Based Wide Reservoir Computing

Advanced Science, EarlyView.
A conformal ALD‐IGZO vertical RRAM integrates volatile and nonvolatile switching within a compact 2F architecture. Before forming, tunable volatile dynamics provide fading‐memory reservoir states, while after forming, stable multilevel conductance modulation enables hardware readout.
Seeun Lee, Jaewon Park, Nawoon Kim, Seohyeon Ju, Seong‐Cheol Jang, Hyun‐Suk Kim, Sungjun Kim   +6 more
wiley   +1 more source

Gorenstein Von Neumann regular rings

, 2009
In this paper, we study the rings with zero Gorenstein weak dimensions, which we call them Gorenstein Von Neumann regular rings.
Mahdou, Najib, Tamekkante, Mohammed, Yassemi, Siamak   +2 more
openaire   +2 more sources

Polynomial Rings Over a Commutative von Neumann Regular Ring [PDF]

Proceedings of the American Mathematical Society, 1975
It is shown that the annihilator of each finitely generated ideal of R [ {
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Neuromorphic Devices and Computing for Sensing, Memory, and Control

Advanced Science, EarlyView.
This review introduces neuromorphic devices made from diverse materials. These devices mimic neuronal functions and architectures and, when integrated with artificial or biological computing, can form closed loops with neurons for pressure, optical, acoustic, and biochemical sensing and modulation.
Zhengguang Zhu, Nicholas Schaffer, Xiao Yang   +2 more
wiley   +1 more source

On $p$-injectivity, YJ-injectivity and quasi-Frobeniusean rings [PDF]

, 2002
summary:A new characteristic property of von Neumann regular rings is proposed in terms of annihilators of elements. An ELT fully idempotent ring is a regular ring whose simple left (or right) modules are either injective or projective.
Yue Chi Ming, Roger
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