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Volume 37 • Number 1 • 2014 |
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Cline's Formula for the Generalized Drazin Inverse
Yihua Liao, Jianlong Chen and Jian Cui
Abstract.
It is well known that for an associative ring R, if ab is Drazin invertible then ba is Drazin invertible. In this case, (ba)D=b((ab)D)2a.This formula is so-called Cline's formula. In this note, we generalize Cline's formula to the case of the generalized Drazin invertibility.
2010 Mathematics Subject Classification: 15A09, 16S10
Full text: PDF
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