Generalized cline’s formula for the generalized Drazin inverse in rings

Generalized cline’s formula for the generalized Drazin inverse in rings

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, 33(2019), 2249-2255), Miller and Zguitti (New extensions of Jacobson?s...

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Veröffentlicht in:Filomat 2023, Vol.37 (10), p.3021-3028
Hauptverfasser: Chen, Huanyin, Abdolyousefi, Marjan
Format: Artikel
Sprache:eng
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Zusammenfassung: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, 33(2019), 2249-2255), Miller and Zguitti (New extensions of Jacobson?s lemma and Cline?s formula, Rend. Circ. Mat. Palermo, II. Ser., 67(2018), 105-114).
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL2310021C