Weighted Moore-Penrose Inverses and Weighted Core Inverses in Rings with Involution*

Citation:

Huihui ZHU,Qing-Wen WANG.Weighted Moore-Penrose Inverses and Weighted Core Inverses in Rings with Involution*[J].Chinese Annals of Mathematics B,2021,42(4):613~624
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Authors:

Huihui ZHU; Qing-Wen WANG

Foundation:

National Natural Science Foundation of China (Nos. 11971294,11801124), China Postdoctoral Science Foundation (No. 2020M671068) and the Natural Science Foundation of Anhui Province (No. 1808085QA16).
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

Classification:

15A09, 16W10
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