20.500.12556/DKUM-92388 On G-S and C-S inverses in *-rings The notions of the G-S inverse and the C-S inverse are extended from the set of all complex n × n matrices to ∗-rings. We present new characterizations of these inverses, study their properties, and apply the C-S inverse to introduce two relations on the set R d© of all core-EP invertible elements in a ∗-ring with identity. We explore the connection between these two relations and the star partial order and prove that one of them is a partial order on R d©. *-rings core-EP decomposition C-S inverse C-S partia order Drazin inverse true false true M. Dekker. Angleški jezik Angleški jezik Znanstveno delo 2025-04-04 03:13:04 2025-07-01 12:53:09 2025-07-02 03:10:14 0000-00-00 00:00:00 2024 0 0 str. 5320-5338 no. 12 Vol. 52 2024 0000-00-00 Zaloznikova Objavljeno NiDoloceno 2024-03-19 2024-06-13 2024-06-25 512 218624259 10.1080/00927872.2024.2370466 0092-7872 https://www.tandfonline.com/doi/full/10.1080/00927872.2024.2370466 1 f5e29483-10f1-11f0-b51c-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=189979 On_G-S_and_C-S_inverses_in_-rings.pdf On_G-S_and_C-S_inverses_in_-rings.pdf 1 42564313C36823E4E285C3552F9E404C 3cacfc3f2f03eef18fba35e5555b10ba9c3979867fe55bb4814e7b672bd77a98 54ec875c-5669-11f0-8520-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=193045 Ekonomsko-poslovna fakulteta 0 0 0