On gs-Drazin inverses in a ring

DOI10.1142/S0219498820500292zbMath1454.16043OpenAlexW2914604611WikidataQ114614738 ScholiaQ114614738MaRDI QIDQ5108397

Huanyin Chen, Mete Burak Calci

Publication date: 4 May 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498820500292

zbMATH Keywords

additive propertyCline's formulaJacobson's lemmags-Drazin inverse

Mathematics Subject Classification ID

von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Generalized inverses (associative rings and algebras) (16U90)

Related Items (1)

Characterizations for the n-strong Drazin invertibility in a ring

Cites Work

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• Common properties of bounded linear operators \(AC\) and \(BA\): local spectral theory
• New results on common properties of the products \(AC\) and \(BA\)
• Extensions of Jacobson's lemma for Drazin inverses
• Cline's formula for the generalized Drazin inverse
• Additive results for the generalized Drazin inverse
• A generalized Drazin inverse
• Properties of generalized strongly Drazin invertible elements in general rings
• New extensions of Cline’s formula for generalized inverses
• Additive property of Drazin invertibility of elements in a ring
• Additive results for the generalized Drazin inverse in a Banach algebra

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