Hefei University of Technology, China
Let R be a unital *-ring and let a,e in R with e,f invertible Hermitian elements. In this work, we define two types of outer generalized inverses, called pseudo e-core inverses and pseudo f-dual core inverses. Moreover, we investigate both of them for their characterizations and properties. Also, the relations between the pseudo e-core inverse (resp. the pseudo f-dual core inverse) and the inverse along an element are given.