Generalized Jacobson's lemma for generalized Drazin inverses

2020/06/15 by Huanyin Chen, Chen, Huanyin, Marjan Sheibani +1
Computer Science · Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Matrix Theory and Algorithms #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2006.08074

openalex publication_date 2020/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present new generalized Jacobson's lemma for generalized Drazin inverses. This extend the main results on g-Drazin inverse of Yan, Zeng and Zhu (Linear & Multilinear Algebra, \bf 68(2020), 81--93).

Related

• Jacobson's Lemma for the generalized n-strongly Drazin inverse
• Generalized Cline's formula and Jacobson's lemma in a ring
• Extensions of Jacobson's lemma for generalized inverses in a ring
• Cline's formula for G-Drazin inverse
• Generalized Cline's formula for G-Drazin inverse in a ring