Weakly principally quasi-Baer skew generalized power series rings

摘要

Let (S, End(R) is a monoid homomorphism. In this paper, we study the weakly p.q.-Bear property of the skew generalized power series ring R[[S, omega]]. As a consequence, the weakly p.q.-Baer property of the skew power series ring R[[x;alpha]] and the skew Laurent power series ring R[[x, x(-1);alpha]] are determined, where alpha is a ring endomorphism of R.