Generalized inverses of a sum in rings

Authors

  • Nieves Castro-González
  • Claudia Mendes-Araújo
  • Pedro Patricio

Keywords:

Regular element, reflexive inverse, Drazin index, Drazin inverse, EP elements

Abstract

We study properties of the Drazin index of regular elements in a ring with a unity 1. We give expressions for generalized inverses of 1+ba in terms of generalized inverses of 1+ab. In our development we prove that the Drazin index of 1 + ba is equal to the Drazin index of 1 + ab. doi:10.1017/S0004972710000080

Published

2010-09-22

Issue

Vol. 82 (2010)

Section

Articles
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