Geodesic
Formulae for the Drazin inverse of elements in a ring
Filomat, Tome 37 (2023) no. 17, p. 5623

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DOI

This paper studies additive properties of the Drazin inverse in a ring R. Some necessary and sufficient conditions for the Drazin invertible are given. Furthermore, we derive additive formulae under conditions weaker than those used in some resent papers on the subject. These extend the main results of Wei and Deng (J. Linear Multilinear Algebra, 59(12) (2011) 1319-1329) and Wang et al. (Filomat, 30(2016), 1185-1193)
DOI : 10.2298/FIL2317623Q
Classification : 15A09, 32A09, 16N20
Keywords: Drazin inverse, Additive properties, Weakly commutative condition 
Xiaolan Qin; Linzhang Lu. Formulae for the Drazin inverse of elements in a ring. Filomat, Tome 37 (2023) no. 17, p. 5623 . doi: 10.2298/FIL2317623Q
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     title = {Formulae for the {Drazin} inverse of elements in a ring},
     journal = {Filomat},
     pages = {5623 },
     year = {2023},
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     number = {17},
     doi = {10.2298/FIL2317623Q},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2317623Q/}
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