부산대학교 도서관

We extend the concept of a G-Drazin inverse from the set Mnn×nRDRMnRD of all Mnn×nRDRMnRD complex matrices to the set Mnn×nRDRMnRD of all Drazin invertible elements in a ring Mnn×nRDRMnRD with identity. We also generalize a partial order induced by G-Drazin inverses from Mnn×nRDRMnRD to the set of all regular elements in Mnn×nRDRMnRD, study its properties, compare it to known partial orders, and generalize some known results.