Further results on one-sided (b; c)-inverses

Abstract

Some new characterizations of left and right (b, c)-inverses are established. The relationship between the left (b, c)-inverse and the right (c,b)-inverse is investigated, providing an improvement of the results concerning (b; c)-inverses and (c, b)-inverses [14]. Furthermore, some new criteria for the existence of left (resp., right) (b, c)-inverses are derived. Consequently, several new characterizations of (b, c)-inverses are obtained as corollaries of our main results. We also provide an affirmative answer to a question raised in [6].