Results 41 to 50 of about 6,227,953 (258)
A characterization of von Neumann regular rings and applications
Linear Algebra and its Applications, 2010 For an \(n\times m\) matrix \(A=(a_{ij})\) and an \(m\times l\) matrix \(B=(b_{ij})\) over the same ring \(R\), we say that the pair of matrices \((A,B)\) has simple 0-multiplication if \(a_{ik}b_{kj}=0\) for all \(1\leq i\leq n\), \(1\leq k\leq m\) and \(1\leq j\leq l\).
Lee, Tsiu-Kwen, Zhou, Yiqiang
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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
On S-2-absorbing submodules and vn-regular modules
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 Let R be a commutative ring and M an R-module. In this article, we introduce the concept of S-2-absorbing submodule. Suppose that S ⊆ R is a multiplicatively closed subset of R.
Ulucak Gülşen, Tekir Ünsal, Koç Suat
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On von Neumann regular rings - II.
MATHEMATICA SCANDINAVICA, 1976 As in other papers of this long series [for Part X see Collect. Math. 34, 81-94 (1983; Zbl 0544.16006), Part XIII see Ann. Univ. Ferrara, Nuova Ser., Sez. VII 31, 49-61 (1985; Zbl 0588.16006)], the author considers generalizations of concepts such as regularity and injectivity.
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New characterizations of Von Neumann regular rings and a conjecture of Shamsuddin [PDF]
, 1996 A theorem of Utumi states that if R is a right self-injective ring such that every maximal ideal has nonzero annihilator, then R modulo the Jacobson radical J is a finite product of simple rings and is a Von Neuman regular ring. We prove two theorems and
Faith, Carl, C. Faith
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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)
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Solutions of minus partial ordering equations over von Neumann regular rings
Open Mathematics, 2015 In this paper, we mainly derive the general solutions of two systems of minus partial ordering equations over von Neumann regular rings. Meanwhile, some special cases are correspondingly presented.
Guan Yu, Tong Zhaojia
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Some Properties of Von Neumann Regular Graphs of Rings
Journal of the Indonesian Mathematical Society, 2022 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
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A characterization of graded von Neumann regular rings with applications to Leavitt path algebras
, 2021 We prove a new characterization of graded von Neumann regular rings involving the recently introduced class of nearly epsilon-strongly graded rings. As our main application, we generalize Hazrat's result that Leavitt path algebras over fields are graded ...
Lännström, Daniel +2 more
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Advanced Functional Materials, EarlyView.An all‐in‐one analog AI accelerator is presented, enabling on‐chip training, weight retention, and long‐term inference acceleration. It leverages a BEOL‐integrated CMO/HfOx ReRAM array with low‐voltage operation (<1.5 V), multi‐bit capability over 32 states, low programming noise (10 nS), and near‐ideal weight transfer.
Donato Francesco Falcone +11 more
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