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Weighted Moore-Penrose Inverses and Weighted Core Inverses in Rings with Involution*
Authors:Huihui ZHU  Qing-Wen WANG
Institution:Department of Mathematics, Shanghai University, Shanghai 200444, China; School of Mathematics,Hefei University of Technology, Hefei 230009, China.; Corresponding author. Department of Mathematics, Shanghai University, Shanghai 200444, China.
Abstract:In this paper, the authors derive the existence criteria and the formulae of the weighted Moore-Penrose inverse, the e-core inverse and the f-dual core inverse in rings. Also, new characterizations between weighted Moore-Penrose inverses and one-sided inverses along an element are given.
Keywords:Weighted Moore-Penrose inverses  One-sided inverses along an element  Inverses along an element  e-Core inverses  f-Dual core inverses
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