A ring R is called weakly principally quasi Baer or simply (weakly p.q.-Baer) if the right annihilator of a principal right ideal is left s-unital by left semicentral idempotents, which implies that R modulo the right annihilator of any principal right ideal is flat. We study the relationship between the weakly p.q.-Baer property of a ring R and those of the skew inverse series rings R((x−1; σ,δ)) and R[[x−1; σ,δ]], for any automorphism σ and σ-derivation δ of R. Examples to illustrate and delimit the theory are provided.

中文翻译：

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弱主准贝尔环的斜逆Laurent级数扩展

戒指R如果主右理想的右湮灭者是左，则称为弱主准 Baer 或简称为（弱 pq-Baer）s-unital 通过左半中心幂等，这意味着R模任何主右理想的右歼灭器是平坦的。我们研究了环的弱 pq-Baer 属性之间的关系R和那些斜反系列环R((X-1; σ,δ))和R[[X-1; σ,δ]], 对于任何自同构σ和σ-推导δ的R. 提供了说明和界定理论的例子。