GENERALIZED INVERSES OF A SUM IN RINGS

By Nieves Castro-González, Claudia Mendes-Araújo, Pedro Patrício. Bulletin of the Australian Mathematical Society, 2010

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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.

Subfields: Algebra and Number Theory, Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/8f77409767084f527a69b79c4ad05c85b92b02db

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In Algebra and Number Theory

1. Guifen Zhuang
2. Jian Cui
3. Jianlong Chen

In Applied Mathematics

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In Computational Theory and Mathematics

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Citations in the corpus

• Jacobson’s lemma for the generalized Drazin inverse (2012, methodology): “6, we obtain the result on the Drazin index as in [3].”