论文标题
与估值和直接限制相关的分级环
Graded rings associated to valuations and direct limits
论文作者
论文摘要
在本文中，我们研究了定义$ q_n $的密钥多项式，与限制密钥多项式$ q_n $相关的分级环的结构。为此，我们使用直接限制。通常，我们描述了与完全有序的一组估值相关的分级环的直接限制。例如，我们将与估值代数估值相关的分级环描述为与残基转换估值相关的分级环的直接限制。
In this paper, we study the structure of the graded ring associated to a limit key polynomial $Q_n$ in terms of the key polynomials that define $Q_n$. In order to do that, we use direct limits. In general, we describe the direct limit of a family of graded rings associated to a totally ordered set of valuations. As an example, we describe the graded ring associated to a valuation-algebraic valuation as a direct limit of graded rings associated to residue-transcendental valuations.
