Characterizations for the (b,c)-core inverse in rings
Qi Zhang, Jingjing Song, Huihui Zhu, Honglin Zou · Filomat · 2024
It is known that group inverse, the Moore-Penrose inverse and the inverse along an element have strongly connections with the classical inverse. The (b, c)-inverse and the (b, c)-core inverse are two new types of outer generalized inverses, extending several generalized inverses. In this paper, we mainly establish the criteria for the (b, c)-inverse and the (b, c)-core inverse by units in rings.