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On Jacobson's lemma and Cline's formula for Drazin inverses
Volume 61, no. 2
(2020),
pp. 267–276
https://doi.org/10.33044/revuma.v61n2a05
Abstract
Under new conditions $bac=bdb$ and $cdb=cac$, we present extensions of
Jacobson's lemma and Cline's formula for the generalized Drazin inverse and
pseudo Drazin inverse in a ring. Applying these results, we give Jacobson's
lemma for the Drazin inverse, group inverse, and ordinary inverse, and Cline's
formula for the Drazin inverse.
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Published by the Unión Matemática Argentina |
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