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

Dijana Mosic

• 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.