Results 51 to 60 of about 16,976 (247)
On Generalized Regular Local Ring
A ring R is called a generalized Von Neumann regular local ring (GVNL-ring) if for any a∈R, either a or (1-a) is π-regular element. In this paper, we give some characterization and properties of generalized regular local rings.
Zubayda M. Ibraheem, Naeema A. Shereef
doaj
Cyclically presented modules, automorphism-invariant modules and poor modules [PDF]
In this thesis, we study three kinds of modules: cyclically presented modules in relation to factorization of elements in a noncommutative integral domain, automorphism-invariant modules and poor modules.
Nguyen, Khanh Tung
core +1 more source
The ring of polynomial over a von Neumann regular ring [PDF]
It is shown that the ring of polynomials in one indeterminate over a commutative von Neumann regular ring with identity element is semihereditary.
openaire +1 more source
A Scalable Perovskite Platform With Multi‐State Photoresponsivity for In‐Sensor Saliency Detection
A scalable in‐sensor computing platform (32 × 32 array) with ultra‐low variability is developed by incorporating ferroelectric copolymers into halide perovskite thin films. These devices achieve 1000 programmable photoresponsivity states and high thermal reliability.
Xuechao Xing +10 more
wiley +1 more source
K1 of noncommutative von Neumann regular rings
AbstractIf R is any (noncommutative, von Neumann) regular ring with 2 invertible, then K1 of the free (noncommuting) R-algebra on a set X is canonically isomorphic to K1(R). If R is unit-regular, then K1(R) is just the abelianization of the group of units of R. Some examples are computed.
openaire +2 more sources
Evolution of Materials and Device Stacks for HfO2‐Based Ferroelectric Memories
This review summarizes engineering strategies for HfO2 based ferroelectric memories with focus on FeCAP and FeFET structures. It describes how dopant design, stress effects, and interface engineering improve the bulk ferroelectric response. It further discusses how channel engineering supports reliable memory characteristics and scalable integration ...
Eunjin Kim, Jiyong Woo
wiley +1 more source
On Self-Injectivity and p-Injectivity [PDF]
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
Transducers convert physical signals into electrical and optical representations, yet each mechanism is bounded by intrinsic trade‐offs across bandwidth, sensitivity, speed, and energy. This review maps transduction mechanisms across physical scale and frequency, showing how heterogeneous integration and multiphysics co‐design transform isolated ...
Aolei Xu +8 more
wiley +1 more source
We introduce AutomataGPT, a generative pretrained transformer (GPT) trained on synthetic spatiotemporal data from 2D cellular automata to learn symbolic rules. Demonstrating strong performance on both forward and inverse tasks, AutomataGPT establishes a scalable, domain‐agnostic framework for interpretable modeling, paving the way for future ...
Jaime A. Berkovich +2 more
wiley +1 more source
Some Properties of Von Neumann Regular Graphs of Rings
Let R be a ring with unity. Taloukolaei and Sahebi [2] introduced the Von Neumann regular graph GV nr+(R) of a ring, whose vertex set is R and two distinct vertices x and y are adjacent if and only if x + y is a Von Neumann regular element. In this article, we investigate some new properties of GV nr+(R) such as traversability, pancyclic, unicyclic ...
Diamond Kharkongor +3 more
openaire +2 more sources

