Notes on Re-nnd generalized inverses

Abstract

Motivated by a recent paper, in which the authors studied Re-nnd {1; 3}-inverse, {1; 4}-inverse and {1; 3; 4}-inverse of a square matrix, in this paper, we establish
some equivalent conditions for the existence of Re-nnd {1; 2; 3}-inverse, {1; 2; 4}-inverse and {1; 3; 4}-inverse. Furthermore, some expressions of these generalized inverses are presented.