的商的极大环 \(A_d L\)

IF 0.6 4区数学 Q3 MATHEMATICS

Algebra Universalis Pub Date : 2025-06-23 DOI:10.1007/s00012-025-00895-7

Warren Wm. McGovern, Batsile Tlharesakgosi

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引用次数: 0

摘要

我们从零维坐标系L和任意积分域a开始，我们赋予a离散拓扑，并考虑L上的a值连续函数环，我们用\(A_dL\)表示。本文对\(A_dL\)上的经典商环和极大商环进行了分类，特别注意了\({\mathfrak Z}L\)上的整值连续函数的情况。

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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The maximal ring of quotients of \(A_d L\)

We start with a zero-dimensional frame L and an arbitrary integral domain A. We equip A with the discrete topology and consider the ring of A-valued continuous functions on L, which we denote by \(A_dL\). In this article, we classify both the classical ring of quotients and maximal ring of quotients of \(A_dL\), paying special attention to the case of \({\mathfrak Z}L\) the integer-valued continuous functions on L.

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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.