On G-S and C-S inverses in *-ringsMarovt, Janko (Avtor) Mosić, Dijana (Avtor) *-ringscore-EP decompositionC-S inverseC-S partia orderDrazin inverseThe 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©.M. Dekker.20242025-04-04 03:13:04Znanstveno delo92388sl