Drazin Invertibility of Product and Difference of Idempotents in a Ring
Jianlong Chen, Huihui Zhu
TL;DR
This paper investigates the conditions under which the product and difference of idempotents are Drazin invertible in a ring, extending known results from Banach algebras to more general ring structures.
Contribution
It provides new equivalent conditions for Drazin invertibility of idempotent combinations in rings, broadening the scope of previous Banach algebra results.
Findings
Characterization of Drazin invertibility for idempotent products and differences
Extension of Banach algebra results to general rings
New equivalent conditions for Drazin invertibility in rings
Abstract
In this paper, several equivalent conditions on the Drazin invertibility of product and difference of idempotents are obtained in a ring. Some results in Banach algebra are extended to the ring case.
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Taxonomy
TopicsMatrix Theory and Algorithms · Advanced Topics in Algebra · Numerical methods for differential equations