Skew armendariz rings and annihilator ideals of Skew polynomial rings

Let R be a ring, d a derivation of R and sigma an automorphism of R. Generalizations of McCoy's theorem in skew polynomial rings are studied. We will obtain that the bijection between the set of right annihilator in R and the set of right annihilators in R[x; sigma] is equivalent to R be skew Armendariz ring. We study the relationship between Baerness, right Goldie property and right p.p.-property of R and R[x; sigma] using the concept of a skew Armendariz ring. It will be studied the properties of quasi-skew Armendariz rings.