论文标题
在K [Q，Sigma]中的分级扩展
Graded extensions in K[Q, sigma]
论文作者
论文摘要
令V为分区环K，Q的总估值环为有理数的添加剂组，aut（k）是K. K的自动形态。让Sigma是从Q到AUT（k）的组同态。令K [Q，Sigma]为K上的Q偏斜环。在本文中，我们将K [Q，Sigma]中的V分级扩展分为两种类型，并研究它们的结构。
Let V be a total valuation ring of a division ring K, Q be the additive group of the rational numbers, Aut(K) be the group of automorphisms of K. Let sigma be a group homomorphism from Q to Aut(K). Let K[Q, sigma ] be the skew group ring of Q over K. In this paper, we classify graded extensions of V in K[Q, sigma] into two types and study the structure of them.
