On α-Skew Quasi Armendariz Modules

Let R be a ring and α be a ring endomorphism of R. We introduce αskew quasi-Armendariz modules as a generalization of quasi-Armendariz rings and modules. Some properties of this generalization and the relationship between an R-module MR and the general polynomial module M [x] over the skew polynomial ring R [x;α] are established. Among other results, we show that there is a strong connection of the Baer, quasi-Baer and the p.p.-property of the two modules, respectively. As a consequence we extend and unify several known results. Mathematics Subject Classification: 16S36; 16E50.