The generalized inverse of morphism in preadditive category. (Chinese. English summary) Zbl 1068.15002
Summary: The authors study generalized inverses of morphisms in a preadditive category, give the characterization and expression for the Moore-Penrose and the Drazin inverse, and obtain necessary and sufficient conditions for the existence of a core-nilpotent decomposition for the morphism.
MSC:
| 15A09 | Theory of matrix inversion and generalized inverses |
| 18E05 | Preadditive, additive categories |
| 15B33 | Matrices over special rings (quaternions, finite fields, etc.) |
| 18A32 | Factorization systems, substructures, quotient structures, congruences, amalgams |
