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Keywords:
$(b,c)$-inverse; core inverse; Drazin inverse
$(b,c)$-inverse; core inverse; Drazin inverse
Summary:
We investigate how to give new representations of $(b,c)$-inverses in terms of core inverses and Drazin inverses. Various new criteria and representations of $(b,c)$-inverses in terms of core inverses and Drazin inverses are established from a new perspective. Since Moore-Penrose inverses, pseudo-inverses, core inverses, dual core inverses, and Bott-Duffin $(e, f )$-inverses are the special cases of $(b, c)$-inverses, new characterizations involving these generalized inverses are also established as corollaries of our results.
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