%0 Journal Article %T Nil-clean matrix rings %A S. Breaz %A G. C£¿lug£¿reanu %A P. Danchev %A T. Micu %J Mathematics %D 2013 %I arXiv %X 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. %U http://arxiv.org/abs/1310.0416v1