Weighted pseudo core inverses in rings

online | | 11:00

Huihui Zhu

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.


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