Geodesic
Some new characterizations of (b, c)-inverses and Bott-Duffin (e, f )-inverses
Filomat, Tome 37 (2023) no. 15, p. 4833

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DOI

The (b, c)-inverse and the Bott-Duffin (e, f)-inverse are two classes of outer inverses, a few characterizations of which have been presented by certain researchers. In this paper, we give some new characterizations of (b, c)-inverses and Bott-Duffin (e, f)-inverses. First, we present a number of ring theoretic characterizations of (b, c)-inverses. Then we characterize (b, c)-inverses by equations. Finally, we present some characterizations of Bott-Duffin (e, f)-inverses. More specifically, we use Bott-Duffin (e, f)-inverses to characterize some classes of rings, such as directly finite rings, Abelian rings and left min-abel rings.
DOI : 10.2298/FIL2315833Y
Classification : 15A09, 16B99, 16U99
Keywords: (b, c)-inverse, Bott-Duffin (e, f )-inverse, Abelian ring, Directly finite ring, Left min-abel ring 
Hua Yao; Ruju Zhao; Long Wang; Junchao Wei. Some new characterizations of (b, c)-inverses and Bott-Duffin (e, f )-inverses. Filomat, Tome 37 (2023) no. 15, p. 4833 . doi: 10.2298/FIL2315833Y
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     author = {Hua Yao and Ruju Zhao and Long Wang and Junchao Wei},
     title = {Some new characterizations of (b, c)-inverses and {Bott-Duffin} (e, f )-inverses},
     journal = {Filomat},
     pages = {4833 },
     year = {2023},
     volume = {37},
     number = {15},
     doi = {10.2298/FIL2315833Y},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2315833Y/}
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