Affiliation:
1. Department of Mathematics, BITS Pilani, K.K. Birla Goa Campus, Goa, India
2. Department of Computational and Data Sciences, Indian Institute of Science, Bangalore, India
Abstract
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.
Publisher
National Library of Serbia
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