Weighted Moore-Penrose Inverses and Weighted Core Inverses in Rings with Involution

Abstract

In this paper, the authors derive the existence criteria and the formulae of the weighted Moore-Penrose inverse, the e-core inverse and the f-dual core inverse in rings. Also, new characterizations between weighted Moore-Penrose inverses and one-sided inverses along an element are given.

Keywords

Weighted Moore-Penrose inverses / One-sided inverses along an element / Inverses along an element / e-Core inverses / f-Dual core inverses