GENERALIZED INVERSES OF A SUM IN RINGS-Reference-Cited by-同舟云学术

GENERALIZED INVERSES OF A SUM IN RINGS

Published:2010-04-22 Issue:1 Volume:82 Page:156-164
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Aust. Math. Soc.

Author:

CASTRO-GONZÁLEZ N.,MENDES-ARAÚJO C.,PATRICIO PEDRO

Abstract

AbstractWe 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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