Results 31 to 40 of about 1,236 (261)
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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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
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Zero-divisor graphs, von Neumann regular rings, and Boolean algebras [PDF]
, 2003 For a commutative ring R with set of zero-divisors Z(R), the zero-divisor graph of R is Γ(R)=Z(R)−{0}, with distinct vertices x and y adjacent if and only if xy=0.
Shapiro, Jay +2 more
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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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Leavitt path algebras are graded von Neumann regular rings [PDF]
, 2014 In sharp contrast to the Abrams–Rangaswamy theorem that the only von Neumann regular Leavitt path algebras are exactly those associated to acyclic graphs, here we prove that the Leavitt path algebra of any arbitrary graph is a graded von Neumann regular ...
Hazrat, Roozbeh (R16959)
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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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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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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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Rosenbrock's theorem for systems over von Neumann regular rings [PDF]
, 2019 pp. 122-130If is a finite system over a commutative von Neumann regular ring R, the problem of searching for a matrix F such that the pencil has some prescribed Smith normal form is reduced to the case where R is a field, a problem which for ...
Hermida Alonso, José Ángel +3 more
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