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Nil-clean matrix rings
Authors:S Breaz  G Călugăreanu  P Danchev  T Micu
Institution:1. Department of Mathematics and Computer Science, Babe?-Bolyai University, 1 Kog?lniceanu street, 400084 Cluj-Napoca, Romania;2. Department of Mathematics, University of Plovdiv, 24 Tzar Assen Street, 4000 Plovdiv, Bulgaria
Abstract:We characterize the nil-clean matrix rings over fields. As a by product, 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.
Keywords:15B33  16E50  20K30
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