On the relation between one-sided duoness and commutators

This article studies the structure of rings RR over which the 2×22\times 2 upper triangular matrix rings with the same diagonal are right duo, denoted by D2(R){D}_{2}\left(R). We prove that for any right regular element dd of such a ring RR, dRdR contains the ideal of RR generated by all commutators...

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Bibliographic Details
Main Authors: Kim Nam Kyun, Lee Yang
Format: Article
Language:English
Published: De Gruyter 2024-12-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2024-0118
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