%0 Journal Article
%T Skew Hurwitz series over quasi Baer and PS-rings
%A Refaat Mohamed Salem
%J Le Matematiche
%D 2012
%I University of Catania
%X In this paper, we consider some properties of rings which are shared by the ring R and the ring T = (HR, ¦Ò ) of skew Hurwitz series. In particular we show that: 1) If R is a ring with char(R) = 0 and ¦Ò is an R -automorphism such that ¦Ò (e) = e and the left annihilator of every left ideal is ¦Ò -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.
%K Hurwitz series
%K Baer ring
%K Quasi Baer ring
%K PS-ring
%U http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/986