Let R be a ring,(S,≤) a strictly ordered monoid and ω: S→ End (R) a monoid
homomorphism. The skew generalized power series ring R [[S, ω]] is a common …

Let α be an endomorphism of R which is not assumed to be surjective and R be α-
compatible. It is shown that the skew power series ring R [[x; α]] is right pq-Baer if and only if …

A module MR is called principally quasi-Baer (or simply pq-Baer) if the annihilator of every
cyclic submodule of MR is generated by an idempotent, as a right ideal. Let α be an …

Abstract Let (S, ≤)(S,≤) be a strictly totally ordered monoid and R an (S, ω)(S, ω)-weakly
rigid ring, where ω: S → End (R) ω: S→ E nd (R) is a monoid homomorphism. In this paper …

For a ring R and a strictly totally ordered monoid (S,≤), let ω: S→ End (R) be a monoid
homomorphism and M an (S, ω)-weakly rigid right R-module (ie, for any elements m∈ M …

Let R be a ring and S a strictly totally ordered monoid. Let ω: S→ End (R) be a monoid
homomorphism. Let MR be an ω-compatible module and either R satisfies the ascending …

Let α be a monomorphism of a ring R which is not assumed to be surjective. It is shown that,
for an α-weakly rigid R, the skew power series ring R [[x; α]] is right pq-Baer if and only if the …

Let α be an automorphism of R and R be a weakly α-rigid ring. It is shown that the skew
power series ring R [[x; α]] is right pq-Baer if and only if the skew Laurent series ring R [[x, x …