Results 11 to 20 of about 576 (168)

From regular modules to von Neumann regular rings via coordinatization

Romanian Journal of Mathematics and Computer Science, 2013
In this paper we establish a very close link (in terms of von Neumann's coordinatization) between regular modules introduced by Zelmanowitz, on one hand, and von Neumann regular rings, on the other hand: we prove that the lattice $\mathcal{L}^{fg}(M)$ of all finitely generated submodules of a finitely generated regular module $M$, over an arbitrary ...
Leonard Daus, Mohamed A. Salim
openaire   +3 more sources

From regular modules to von Neumann regular rings via coordinatization [PDF]

Romanian Journal of Mathematics and Computer Science, 2014
In this paper we establish a very close link (in terms of von Neu- mann's coordinatization) between regular modules introduced by Zel- manowitz, on one hand, and von Neumann regular rings, on the other hand: we prove that the lattice L^{fg}(M) of all ...
Leonard Daus, Mohamed A. Salim
doaj  

关于右GP-V-环(On right GP-V-rings)

Zhejiang Daxue xuebao. Lixue ban, 2009
GP-V-ring(GP-V-module) is studied which is a generalization of P-V-ring (P-V-module), and the characters are searched for. For example,if R is a right GP-V-ring, then for any maximal subideal K of a principal right ideal U= aR, a ∈R, there exists a ...
YANGChun-lan(杨春兰)
doaj   +1 more source

Characterizing $S$-flat modules and $S$-von Neumann regular rings by uniformity

, 2021
Let $R$ be a ring and $S$ a multiplicative subset of $R$. An $R$-module $T$ is called $u$-$S$-torsion ($u$- always abbreviates uniformly) provided that $sT=0$ for some $s\in S$. The notion of $u$-$S$-exact sequences is also introduced from the viewpoint of uniformity.
openaire   +2 more sources

The sum-product splitting property and injective direct sums of modules over von Neumann regular rings [PDF]

Proceedings of the American Mathematical Society, 1981
ABsmsAcr. Let (Mi)ie be a family of modules over a von Neumann regular ring. It is shown that for the splitness of the canonical inclusion ffl IMi c iEEIM it is necessary and sufficient that there be a finite subset F' of I such that the restricted sum DiE\,{M is semisimple with finitely many homogeneous components, all simple summands being finite ...
openaire   +2 more sources

Some Results on W-regular Rings

NTU Journal of Pure Sciences
Von 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
doaj   +1 more source

Solution‐Processed Two‐Dimensional Indium Oxide on Sodium‐Embedded Alumina for Reconfigurable Optoelectronic Synaptic Transistors

Advanced Functional Materials, EarlyView.
Wafer‐scale two‐dimensioanl In2Se3 oxidized into InOx on sodium‐embedded beta‐alumina enables multifunctional reconfigurable electronics. Sodium ions accumulate within distinct spatial distribution under drain‐controlle and gate‐controlled operation. Drain‐control operation gives controllability of ultraviolet‐driven optoelectronic synaptic conductance
Jinhong Min, Yonghyun Albert Kwon, Hyunbin Kim, Jihyun Kim, Myeongjin Jung, Jaewon Heo, Gwang Ya Kim, Vlastimil Mazanek, Zdeněk Sofer, In Soo Kim, Jeong Ho Cho, Hyesung Park, Sang Min Won, Joohoon Kang   +13 more
wiley   +1 more source

Noise‐Limited Bit Precision in Ferroelectric Synaptic Transistors for High‐Resolution Neuromorphic Computing

Advanced Functional Materials, EarlyView.
Low‐frequency noise spectroscopy defines the resolvable conductance states of synaptic FeFETs by coupling read‐current fluctuation with usable dynamic range. The resulting noise‐limited bit precision establishes a universal, device‐agnostic reliability metric beyond the memory window, enabling quantitative benchmarking and rational design of high ...
Jaehong Park, Yeonseop Shin, Changhyeon Han, Sangwoo Kim, Eunchan Park, Youngchan Cho, Jaehong Min, Hyunjun Ahn, Jaekyoung Park, Cheol‐Woong Yang, Jangsaeng Kim, Daewoong Kwon, Wonjun Shin   +12 more
wiley   +1 more source

Topology and Material Optimization in Ultra‐Soft Magneto‐Active Structures: Making Advantage of Residual Anisotropies

Advanced Materials, EarlyView.
Residual magnetization induces pronounced mechanical anisotropy in ultra‐soft magnetorheological elastomers, shaping deformation and actuation even without external magnetic fields. This study introduces a computational‐experimental framework integrating magneto‐mechanical coupling into topology optimization for designing soft magnetic actuators with ...
Carlos Perez‐Garcia, Rogelio Ortigosa, Jesús Martínez‐Frutos, Daniel Garcia‐Gonzalez   +3 more
wiley   +1 more source

On ȷ-flat modules and ȷ-von Neumann regular rings

Filomat
Let R be a commutative ring with a non-zero identity and ? be an ideal R. In this paper, we introduce and investigate the concepts of ?-torsion modules, ?-torsion free modules, ?-flat modules and ?-von Neumann regular rings. Many examples, characterizations, and properties of these notions are given.
Adam Anebri, Najib Mahdou, El Oubouhou
openaire   +1 more source