Submitted:
14 October 2026
Posted:
15 October 2026
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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.
Keywords:
core-EP inverse
; weighted core-EP inverse
; weighted g-Drazin inverse
; weighted core-EP order
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