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 ring R is called right principally quasi-Baer (or simply right pq-Baer) if the right annihilator
of a principal right ideal of R is generated by an idempotent. Let R be a ring such that all left …

A NOTE ON EXTENSIONS OF PRINCIPALLY QUASI-BAER RINGS Page 1 TAIWANESE
JOURNAL OF MATHEMATICS Vol. 12, No. 7, pp. 1721-1731, October 2008 This paper is …

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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 generalization of (skew) …

Let R be a ring. We consider left (or right) principal quasi-Baerness of the left skew formal
power series ring R [[x; α]] over R where α is a ring automorphism of R. We give a necessary …

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 …

Let $ R $ be a ring, $ M $ a right $ R $-module and $(S,\leq) $ a strictly totally ordered
monoid. It is shown that $[[M^{S,\leq}]] $, the module of generalized power series with …

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 R be a ring equipped with an automorphism α and an α-derivation δ. We studied on the
relationship between the quasi Baerness and (α, δ)-quasi Baerness of a ring R and these of …