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Nil-clean matrix rings (1310.0416v1)
Published 1 Oct 2013 in math.AC, math.RA, and math.RT
Abstract: We characterize the nil clean matrix rings over fields. As a by product, it is proved that the full matrix rings with coefficients in commutative nil-clean rings are nil-clean, and we obtain a complete characterization of the finite rank Abelian groups with nil clean endomorphism ring and the Abelian groups with strongly nil clean endomorphism ring, respectively.
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