On G-Drazin partial order in ringsDolinar, Gregor (Avtor) Kuzma, Bojan (Avtor) Marovt, Janko (Avtor) Mosić, Dijana (Avtor) Drazin inversecore-nilpotent decompositionpartial orderannihilatorringWe extend the concept of a G-Drazin inverse from the set $M_n$ of all $n × n$ complex matrices to the set $\mathcal{R}^\mathcal{D}$ of all Drazin invertible elements in a ring $\mathcal{R}$ with identity. We also generalize a partial order induced by G-Drazin inverses from $M_n$ to the set of all regular elements in $\mathcal{R}^\mathcal{D}$, study its properties, compare it to known partial orders, and generalize some known results.20242024-08-26 12:52:18Članek v reviji160337sl