Results 261 to 270 of about 5,588,991 (291)

The Moore–Penrose Inverse of Von Neumann Regular Matrices Over a Ring [PDF]

Linear Algebra and Its Applications, 2001
Necessary and sufficient conditions are given in order that a von Neumann regular matrix over an arbitrary ring and some factorizations are Moore-Penrose invertible.Fundação para a Ciência e a Tecnologia (FCT)
Pedro Patricio
exaly   +2 more sources

The Realization Problem for Von Neumann Regular Rings [PDF]

Ring Theory 2007, 2008
We survey recent progress on the realization problem for von Neumann regular rings, which asks whether every countable conical refinement monoid can be realized as the monoid of isoclasses of finitely generated projective right $R$-modules over a von Neumann regular ring $R$.
Pere Ara
exaly   +3 more sources

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On von Neumann Regularity of Commutators

Algebra Colloquium
We study the structure of rings which satisfy the von Neumann regularity of commutators, and call a ring [Formula: see text] C-regular if [Formula: see text] for all [Formula: see text], [Formula: see text] in [Formula: see text]. For a C-regular ring [Formula: see text], we prove [Formula: see text], where [Formula: see text], [Formula: see text ...
Kim, Nam Kyun, Kwak, Tai Keun, Lee, Yang, Ryu, Sung Ju   +3 more
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On von neumann regular rings

Communications in Algebra, 2000
(2000). On von neumann regular rings. Communications in Algebra: Vol. 28, No. 2, pp. 791-801.
Chan Yong Hong, Jin Yong Kim, Nam Kyun Kim   +2 more
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On von Neumann regular elements in f-rings

Algebra universalis, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Azouzi, Youssef, Ben Amor, Mohamed Amine
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Regular Semigroups of Endomorphisms of von Neumann Factors

Mathematical Notes, 2001
The authors consider a class of semigroups, closed under cocycle perturbations, which they call regular, on a factor \({\mathfrak M}\) of arbitrary type, and show that for these semigroups the problem of regular extension has a ``generalized solution''.
Amosov, G. G., Bulinskiĭ, A. V., Shirokov, M. E.   +2 more
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Characterizing von Neumann Regular Rings in Reverse Mathematics

Notre Dame Journal of Formal Logic, 2021
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Some remarks on von Neumann regular rings

Kobe Journal of Mathematics, 1992
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Jule, Zhang, Xianneng, Du
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Von Neumann Regular Rings Satisfying Weak Comparability

Applied Categorical Structures, 2007
For modules \(X\) and \(Y\) over a ring \(R\), write \(X\lesssim Y\) (resp. \(X\prec Y\)) in case \(X\) is isomorphic to a submodule (resp. proper submodule) of \(Y\). A regular ring \(R\) `satisfies weak comparability' if for each nonzero \(x\in R\) there is a positive integer \(n=n(x)\) such that \(n(yR)\lesssim R\) implies \(yR\lesssim xR\) for all \
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Von Neumann regular semimodule II

Asian-European Journal of Mathematics
The study of subsemimodules of semimodules over semirings plays a central role in the structure theory and are useful for many purposes. In this paper, [Formula: see text] is considered as an inverse semimodule over a semiring [Formula: see text] such that [Formula: see text] is a distributive lattice of rings.
M. K. Sen, S. K. Maity, Sabnam Swomin
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