On nilpotent matrices that are unit-regular
DOI:
https://doi.org/10.24193/subbmath.2025.4.02Keywords:
Bezout domain, exchange ring, block diagonal matrixAbstract
In this paper, we characterize regular nilpotent 2 x 2 matrices over Bezout domains and prove that they are unit-regular. We also demonstrate that nilpotent n x n matrices over division rings are unit-regular.
References
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W.K. Nicholson Lifting idempotents and exchange rings. Trans. Amer. Math. Soc. 229 (1977), 69-278.
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