The Two-Weight Core-EP Inverse in a Ring

In this paper, we characterize the two-weight core-EP inverse using the weighted core decomposition and establish its novel representations through the weighted g-Drazin inverse. Furthermore, we define and investigate the weighted core-EP orders within this general setting. These results subsume and extend the properties of the core-EP inverse to a broader algebraic setting.

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Publication Details

Journal
Preprints.org
Published
2026-10-15
DOI
https://doi.org/10.20944/preprints202610.1451.v1
Primary Topic
Rings, Modules, and Algebras
Type
preprint
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preprint

The Two-Weight Core-EP Inverse in a Ring

Huanyin Chen
Preprints.org
Rings, Modules, and Algebras
preprint

The Two-Weight Core-EP Inverse in a Ring

Huanyin Chen
preprint en

Abstract

In this paper, we characterize the two-weight core-EP inverse using the weighted core decomposition and establish its novel representations through the weighted g-Drazin inverse. Furthermore, we define and investigate the weighted core-EP orders within this general setting. These results subsume and extend the properties of the core-EP inverse to a broader algebraic setting.

Preprints.org
Fuzhou University of International Studies and Trade (CN)
Rings, Modules, and Algebras
DOIOpen Access PDFOpenAlex
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