Nil-clean matrix rings |
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Authors: | S Breaz G Călugăreanu P Danchev T Micu |
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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 |
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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. |
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Keywords: | 15B33 16E50 20K30 |
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