Further results on hybrid (b,c)-inverses in rings

Abstract

Let $R$ be a ring and $b, c \in R$.
In this paper, the absorption law for the hybrid $(b, c)$-inverse in a ring is considered.
Also, by using the Green's preorders and relations,
we obtain the reverse order law of the hybrid $(b, c)$-inverse.
As applications, we obtain the related results for the $(b, c)$-inverse.