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Communications in Algebra, 2017
In this paper, we introduce von Neumann regular modules and give many characterizations of von Neumann regular modules.
C. Jayaram, Ünsal Tekir
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In this paper, we introduce von Neumann regular modules and give many characterizations of von Neumann regular modules.
C. Jayaram, Ünsal Tekir
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Communications in Algebra, 2000
(2000). On von neumann regular rings. Communications in Algebra: Vol. 28, No. 2, pp. 791-801.
Chan Yong Hong +2 more
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(2000). On von neumann regular rings. Communications in Algebra: Vol. 28, No. 2, pp. 791-801.
Chan Yong Hong +2 more
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Von Neumann regular graphs associated with rings
Discrete Mathematics, Algorithms and Applications, 2018Let [Formula: see text] be a ring with nonzero identity. By the Von Neumann regular graph of [Formula: see text], we mean the graph that its vertices are all elements of [Formula: see text] such that there is an edge between vertices [Formula: see text] if and only if [Formula: see text] is a Von Neumann regular element of [Formula: see text], denoted
Ali Jafari Taloukolaei, Shervin Sahebi
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On von Neumann regular elements in f-rings
Algebra universalis, 2017zbMATH 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, 2001The 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. +2 more
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Some remarks on von Neumann regular rings
Kobe Journal of Mathematics, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jule, Zhang, Xianneng, Du
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Von Neumann Regular Rings Satisfying Weak Comparability
Applied Categorical Structures, 2007For 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 MathematicsThe 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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ON VON NEUMANN REGULAR MODULES
Advances in Mathematics: Scientific Journal, 2020G. N. Sudharshana, D. Siva Kumar
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