The number fields that are ${O}^{*}$-fields

IF 0.6 4区数学 Q3 MATHEMATICS

Algebra Universalis Pub Date : 2022-06-27 DOI:10.1007/s00012-022-00781-6

Jingjing Ma

引用次数: 3

Abstract

Using the theory on infinite primes of fields developed by Harrison in [2], the necessary and sufficient conditions are proved for real number fields to be $O^{*}$-fields, and many examples of $O^{*}$-fields are provided.

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$$｛O｝^｛*｝$$字段的数字字段

利用Harrison在[2]中提出的域的无穷素数理论，证明了实数域为\（O^｛*｝）-域的充要条件，并给出了\（O ^｛*｝）–域的许多例子。

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

Algebra Universalis 数学-数学

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

3 months

期刊介绍： Algebra Universalis publishes papers in universal algebra, lattice theory, and related fields. In a pragmatic way, one could define the areas of interest of the journal as the union of the areas of interest of the members of the Editorial Board. In addition to research papers, we are also interested in publishing high quality survey articles.

The number fields that are \({O}^{*}\)-fields

Abstract