On a theorem of Flanders
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- by Robert E. Hartwig PDF
- Proc. Amer. Math. Soc. 85 (1982), 310-312 Request permission
Abstract:
It is shown that if $R$ is a regular strongly-pi-regular ring, then $R$ is unit-regular precisely when ${(ab)^d} \approx {(ba)^d}$ for all $a, b \in R$. This generalizes a result by Flanders, which states that the matrices $AB$ and $BA$ over a field ${\mathbf {F}}$ have the same elementary divisors except possibly those divisible by $\lambda$.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 85 (1982), 310-312
- MSC: Primary 15A21; Secondary 15A09
- DOI: https://doi.org/10.1090/S0002-9939-1982-0656090-3
- MathSciNet review: 656090