In this paper we research generalized inverse of product f = pgq in categories.Suppose these exist morphism p' and q' such p'pg = g = gqq', we characterize theexistance of the Moors-Penrose inverse f+ and the Drazin inverse fD in terms of g+and g# respactively, and establish the expression of f+ and fD.
Sheng Yuan JIANG(1),Xiao Ji LI.
Generalized Inverses of Morphisms with Universal-Factorzation. Acta Mathematica Sinica, Chinese Series, 1999, 42(2) https://doi.org/10.12386/A1999sxxb0044