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• W1964879244 abstract "0truemm0truemm We study properties of elements in a ring which admit the generalized Drazin inverse. It is shown that the element 1-ab is generalized Drazin invertible if and only if so is 1-ba and a formula for the generalized Drazin inverse of 1-ba in terms of the generalized Drazin inverse and the spectral idempotent of 1-ab is provided. Further, recent results relating to the Drazin index can be recovered from our theorems." @default.
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• W1964879244 date "2012-02-01" @default.
• W1964879244 modified "2023-10-01" @default.
• W1964879244 title "Jacobson’s lemma for the generalized Drazin inverse" @default.
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• W1964879244 doi "https://doi.org/10.1016/j.laa.2011.07.044" @default.
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