Skew Hurwitz series over quasi Baer and PS-rings

In this paper, we consider some properties of rings which are shared by the ring R and the ring T = (HR, σ ) of skew Hurwitz series. In particular we show that: 1) If R is a ring with char(R) = 0 and σ is an R -automorphism such that σ (e) = e and the left annihilator of every left ideal is σ -invariant, then the following are equivalent: i) T is a quasi Baer ring. ii) R is a quasi Baer ring. 2) If R is a right PS-ring with char(R) = 0, then T is a right PS-ring.