Generalized Zhou inverses in rings

DOI10.1080/00927872.2021.1914072zbMath1497.16038arXiv2012.10571OpenAlexW3158327287MaRDI QIDQ5860640

Marjan Sheibani Abdolyousefi, Huanyin Chen

Publication date: 22 November 2021

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.10571

zbMATH Keywords

Banach algebraCline's formulaJacobson's lemma\(p\)-Drazin inverse

Mathematics Subject Classification ID

Generalized inverses (associative rings and algebras) (16U90)

Cites Work

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• Pseudo Drazin inverses in associative rings and Banach algebras
• Representations for the pseudo Drazin inverse of elements in a Banach algebra
• Jacobson's lemma for the generalized Drazin inverse
• Extensions of Jacobson's lemma for Drazin inverses
• Cline's formula for the generalized Drazin inverse
• Rings in which elements are sums of nilpotents, idempotents and tripotents
• Generalized Cline’s formula and common spectral property
• Rings with xn − x nilpotent
• On the pseudo drazin inverse of the sum of two elements in a Banach algebra
• PSEUDOPOLAR MATRIX RINGS OVER LOCAL RINGS
• On rings with xn − x nilpotent

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