On Jacobson's lemma and Cline's formula for Drazin inverses

Authors

  • Dijana Mosic Faculty of Sciences and Mathematics, University of Niˇs, P.O. Box 224, 18000 Niˇs, Serbia

DOI:

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.

Downloads

Download data is not yet available.

Downloads

Published

2020-10-31

Issue

Vol. 61 No. 2 (2020)

Section

Article

License

Copyright (c) 2024 Dijana Mosic

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Authors who publish with this journal agree to the following terms:

Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal. The Journal may retract the paper after publication if clear evidence is found that the findings are unreliable as a result of misconduct or honest error.