Generalized Cline's formula for the g-Drazin inverse in a ring

Huanyin Chen, Marjan Sheibani

Abstract


In this paper, we present new generalized Cline's formula for g-Drazin inverse in rings and Banach algebras.
These extend many known results, e.g., Chen and Abdolyousefi (Cline's formula for g-Drazin inverses in a ring, Filomat, {\bf 33}(2019), 2249--2255), Miller and Zguitti (New extensions of Jacobson's lemma and Cline's formula, Rend. Circ. Mat. Palermo, II. Ser., {\it 67}(2018), 105--114).


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