Characterizations of weighted (b,c) inverse

10/19/2020 ∙ by Bibekananda Sitha, et al. ∙ 0

The notion of weighted (b,c)-inverse of an element in rings were introduced, very recently [Comm. Algebra, 48 (4) (2020): 1423-1438]. 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 introduce some necessary and sufficient conditions for the existence of the hybrid (v, w)-weighted (b,c)-inverse and annihilator (v, w)-weighted (b,c)-inverse of elements in rings. In addition to this, we explore a few sufficient conditions for the reverse-order law of the annihilator (v, w)-weighted (b,c)-inverses.

READ FULL TEXT
POST COMMENT

Comments

There are no comments yet.

Authors

page 1

page 2

page 3

page 4

This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.