s Hadjirezaei - Vali-e-Asr University of Rafsanjan Department of Mathematics
s Karimzadeh - Vali-e-Asr University of Rafsanjan Department of Mathematics

An element a of a ring R is called strongly nil-clean if a = e + u, where e is an idempotent and u is a nilpotent element and eu = ue. R is called a strongly nil-clean ring if each of its elements is strongly nil-clean. In this paper we assert some results about strogly nil-clean matrices.

strongly nil-clean matrix, principal ideal domain, local ring