Abstract
In this paper we show that, if R is a ring and sigma an endomorphism of R; then the skew Hurwitz series ring T = (HR, sigma) is an n-clean ring if and only if R is an n-clean ring. Moreover, if R is an integral domain and a torsion-free Z-module, then T = ( HR, sigma) is a Prufer domain if and only if R is a field. Also, we investigate when the ring T = ( HR, sigma) is g(x)-clean, (n, g(x))-clean and a Neat ring.