Geodesic
Characterization of weighted (b,c) inverse of an element in a ring
Filomat, Tome 36 (2022) no. 14, p. 4629

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DOI

The notion of the weighted (b, c)-inverse of an element in rings were introduced very recently. In this paper, we further elaborate on this theory by establishing a few characterizations of this inverse and their relationships with other (v, w)-weighted (b, c)-inverses. We discuss a few necessary and sufficient conditions for the existence of the hybrid (v, w)-weighted (b, c)-inverse and the annihilator (v, w)-weighted (b, c)-inverse of an element in a ring. In addition, we explore a few sufficient conditions for the reverse-order law of the annihilator (v, w)-weighted (b, c)-inverses.
DOI : 10.2298/FIL2214629S
Classification : 15A09, 16U90, 16W10
Keywords: Generalized inverse, Weighted (b, c)-inverse, Weighted hybrid (b, c)-inverse, Weighted annihilator (b, c)-inverse, Weighted Bott-Duffin (e, f )-inverse 
Bibekananda Sitha; Jajati Keshari Sahoo; Ratikanta Behera. Characterization of weighted (b,c) inverse of an element in a ring. Filomat, Tome 36 (2022) no. 14, p. 4629 . doi: 10.2298/FIL2214629S
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     title = {Characterization of weighted (b,c) inverse of an element in a ring},
     journal = {Filomat},
     pages = {4629 },
     year = {2022},
     volume = {36},
     number = {14},
     doi = {10.2298/FIL2214629S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2214629S/}
}
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