论文标题
在减少的阿基赛马偏斜电源系列戒指上
On Reduced archimedean skew power series rings
论文作者
论文摘要
在本文中，我们证明，如果$ r $是Archimedean减少的戒指，并且满足了对歼灭者的满足，那么$ r [[x]] $也是Archimedean减少的戒指。更普遍地，我们证明，如果$ r $是满足n灭剂\ emph {acc}的右Archimedean戒指，而$α$是$ r $的刚性自动形态，那么Skew Power系列环$ r [[x;α] $是正确的Archimedean还原环。我们还提供了一些示例，以证明我们做出的假设是为了获得所需的结果。
In this paper, we prove that if $R$ is an Archimedean reduced ring and satisfy ACC on annihilators, then $R[[x]]$ is also an Archimedean reduced ring. More generally we prove that if $R$ is a right Archimedean ring satisfying the \emph{ACC} on annihilators and $α$ is a rigid automorphism of $R$, then the skew power series ring $R[[x;α]]$ is right Archimedean reduced ring. We also provide some examples to justify the assumptions we made to obtain the required result.
