Generalized cline's formula for the generalized Drazin inverse in rings
Filomat, Tome 37 (2023) no. 10, p. 3021
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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).
Classification :
15A09, 47A11
Keywords: Generalized Cline’s formula, Generalized Drazin inverse, Banach algebra, Common spectral property
Keywords: Generalized Cline’s formula, Generalized Drazin inverse, Banach algebra, Common spectral property
Huanyin Chen; Marjan Sheibani Abdolyousefi. Generalized cline's formula for the generalized Drazin inverse in rings. Filomat, Tome 37 (2023) no. 10, p. 3021 . doi: 10.2298/FIL2310021C
@article{10_2298_FIL2310021C,
author = {Huanyin Chen and Marjan Sheibani Abdolyousefi},
title = {Generalized cline's formula for the generalized {Drazin} inverse in rings},
journal = {Filomat},
pages = {3021 },
year = {2023},
volume = {37},
number = {10},
doi = {10.2298/FIL2310021C},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2310021C/}
}
TY - JOUR AU - Huanyin Chen AU - Marjan Sheibani Abdolyousefi TI - Generalized cline's formula for the generalized Drazin inverse in rings JO - Filomat PY - 2023 SP - 3021 VL - 37 IS - 10 UR - http://geodesic.mathdoc.fr/articles/10.2298/FIL2310021C/ DO - 10.2298/FIL2310021C LA - en ID - 10_2298_FIL2310021C ER -
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