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### Published volumes

##### 1936-1944
On Jacobson's lemma and Cline's formula for Drazin inverses
Volume 61, no. 2 (2020), pp. 267–276

### 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.