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Additive Property of Drazin Invertibility of Elements
In this article, we investigate additive properties of the Drazin inverse of
elements in rings and algebras over an arbitrary field. Under the weakly
commutative condition of , we show that is Drazin
invertible if and only if is Drazin invertible. Next, we
give explicit representations of , as a function of
and , under the conditions and .Comment: 17 page
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