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- W4226181458 abstract "We give a constructive sufficient condition for a matrix over a commutative ring to be von Neumann regular, and we show that it is also necessary over local rings. Specifically, we prove that a matrix A over a local commutative ring is von Neumann regular if and only if A has an invertible ρ(A)×ρ(A)-submatrix if and only if the determinantal rank ρ(A) and the McCoy rank of A coincide. We deduce consequences to (products of local) commutative rings, and we determine the number of von Neumann regular matrices over some finite rings of residue classes and group algebras." @default.
- W4226181458 created "2022-05-05" @default.
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- W4226181458 date "2022-04-07" @default.
- W4226181458 modified "2023-09-27" @default.
- W4226181458 title "Von Neumann regular matrices revisited" @default.
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- W4226181458 doi "https://doi.org/10.1080/03081087.2022.2061402" @default.
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