20.500.12556/DKUM-90280 On G-drazin partial order in rings We extend the concept of a G-Drazin inverse from the set Mn of all n × n complex matrices to the set RD of all Drazin invertible elements in a ring R with identity. We also generalize a partial order induced by G-Drazin inverses from Mn to the set of all regular elements in RD , 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 Znanstveno delo 2024-08-28 06:07:32 2025-07-01 14:20:21 2025-07-02 03:10:13 0000-00-00 00:00:00 2024 0 0 str. 176-192 ǂiss. ǂ1 ǂVol. ǂ173 2024 0000-00-00 Zaloznikova Objavljeno NiDoloceno 2023-11-05 2024-02-06 2024-05-08 512 205138179 10.1007/s10474-024-01429-8 0236-5294 https://link.springer.com/article/10.1007/s10474-024-01429-8#preview 1 0de71622-64f3-11ef-8d33-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=183550 On_G-Drazin_partial_order_in_rings.pdf On_G-Drazin_partial_order_in_rings.pdf 1 77A023DACDB888D569240FB5EFF31B44 0acf98f5616e3e1964aabc15c6c66497f4569c2bc4f115a1eae8cab7298137ab b63f0f8c-5675-11f0-8520-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=193063 Ekonomsko-poslovna fakulteta 0 0 0