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Algebra |
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Authors: Huanyin Chen
In this paper, we introduce weighted weak group inverse in a ring with proper involution.This is a natural generalization of weak group inverse for a complex matrix and weighted weak group inverse for a Hilbert operator.We characterize this weighted generalized by using a kind of decomposition involving weighted group inverses and nilpotents. The relations among weighted weak group inverse, weighted Drazin inverse and weighted core-EP inverse are thereby presented.
Comments: 24 Pages.
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[v1] 2024-06-26 15:22:15
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