Results 41 to 50 of about 5,838,381 (260)
Diagonalization of matrices over regular rings [PDF]
, 1996 Square matrices are shown to be diagonalizable over all known classes of (von Neumann) regular rings. This diagonalizability is equivalent to a cancellation property for finitely generated projective modules which conceivably holds over all regular ...
P. Ara +7 more
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Relative Regular Modules. Applications to von Neumann Regular Rings [PDF]
Applied Categorical Structures, 2009 6 ...
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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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Some Relations between von Neumann Regular Elements and Quasi-Invertible Elements in Unital Rings
, 2020 In this paper, the definitions of centrally orthogonal elements, idempotent elements and von Neumann regular elements in unital rings are presented with related examples.
Myo Myo Hla
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Two New Types of Rings Constructed from Quasiprime Ideals
International Journal of Mathematics and Mathematical Sciences, 2011 Keigher showed that quasi-prime ideals in differential commutative rings are analogues of prime ideals in commutative rings. In that direction, he introduced and studied new types of differential rings using quasi-prime ideals of a differential ring.
Manal Ghanem, Hassan Al-Ezeh
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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 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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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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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
wiley +1 more source