IMMEDIATE EXTENSIONS OF VALUATION RINGS AND

IF 0.2 4区数学 Q4 MATHEMATICS

Mathematical Reports Pub Date : 2023-01-01 DOI:10.59277/mrar.2023.25.75.3.505

DORIN POPESCU

引用次数: 0

Abstract

We describe the immediate extensions of a one dimensional valuation ring V which could be embedded in some separation of a ultrapower of V with respect to a certain ultrafilter. For such extensions, a kind of Artin’s approximation holds.

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估值环和的直接扩展

我们描述了一个一维估值环V的直接扩展，它可以嵌入到V的超功率对某个超过滤器的某些分离中。对于这样的扩展，一种Artin的近似是成立的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical Reports MATHEMATICS-

CiteScore

0.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal MATHEMATICAL REPORTS (formerly STUDII SI CERCETARI MATEMATICE) was founded in 1948 by the Mathematics Section of the Romanian Academy. It appeared under its first name until 1998 and received the name of Mathematical Reports in 1999. It is now published in one volume a year, consisting in 4 issues. The current average total number of pages is 500. Our journal MATHEMATICAL REPORTS publishes original mathematical papers, written in English. Excellent survey articles may be also accepted. The editors will put strong emphasis on originality, quality and applicability.