Turquía
China
China
Let R be a local ring and suppose that there exists a ∈ F∗ such that a 6 6= 1; also let T : Mn(R) → Mm(R) be a linear map preserving Drazin inverses. Then we prove that T = 0 or n = m and T preserves idempotents. We thereby determine the form of linear maps from Mn(R) to Mm(R) preserving Drazin inverses of matrices.
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