论文标题
右串行偏斜Laurent系列戒指
Right Serial Skew Laurent Series Rings
论文作者
论文摘要
令$ a $为戒指,其自动形态为$φ$。事实证明,当$ a $是$ a $是一个正确的串行式Artinian Ring时,偏斜Laurent系列环$ a((x,φ))$是正确的串行环。
Let $A$ be a ring and $φ$ its automorphism. It is proved that skew Laurent series ring $A((x,φ))$ is a right serial ring if and only if $A$ is a right serial right Artinian ring.