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Skew inverse Laurent series extensions of weakly principally quasi Baer rings
Journal of Algebra and Its Applications ( IF 0.5 ) Pub Date : 2020-08-18 , DOI: 10.1142/s0219498821501917
S. Mehralinejadian 1 , A. Moussavi 1, 2 , Sh. Sahebi 1
Affiliation  

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((x1; σ,δ)) and R[[x1; 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:

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))R[[X-1; σ,δ]], 对于任何自同构σσ-推导δR. 提供了说明和界定理论的例子。
更新日期:2020-08-18
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