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Characterization of Weighted (b,c) Inverse of an Element in a Ring

Sitha, B and Sahoo, JK and Behera, R (2022) Characterization of Weighted (b,c) Inverse of an Element in a Ring. In: Filomat, 36 (14). pp. 4629-4644.

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Official URL: https://doi.org/10.2298/FIL2214629S


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.

Item Type: Journal Article
Publication: Filomat
Publisher: University of Nis
Additional Information: The copyright for this article belongs to University of Nis.
Keywords: Generalized inverse; Weighted (b,c)-inverse; Weighted annihilator (b,c)-inverse; Weighted Bott-Duffin (e,f)-inverse; Weighted hybrid (b,c)-inverse
Department/Centre: Division of Interdisciplinary Sciences > Computational and Data Sciences
Date Deposited: 09 Feb 2023 11:26
Last Modified: 09 Feb 2023 11:26
URI: https://eprints.iisc.ac.in/id/eprint/80127

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