20.500.12556/RUL-160337 On G-Drazin partial order in rings We 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. Drazin inverse core-nilpotent decomposition partial order annihilator ring true false true Angleški jezik Ni določen Članek v reviji 2024-08-26 12:52:18 2024-08-26 12:52:19 2024-08-27 03:52:26 0000-00-00 00:00:00 2024 0 0 Str. 176-192 iss. 1 Vol. 173 2024 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 512 0236-5294 10.1007/s10474-024-01429-8 205138179 s10474-024-01429-8.pdf s10474-024-01429-8.pdf 1 0F398E80B169ED5A6C885A405B8F0EB4 0a527a97643831887da463c1b2e6dda374450c9ff7445a176642efa3ad062fb9 6a8e7bf4-6399-11ef-8f74-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=188940 https://link.springer.com/article/10.1007/s10474-024-01429-8 0 4b636651-6399-11ef-8f74-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=188939 Fakulteta za elektrotehniko 0 0 0