Scholarlink

<p>The aim of this paper is to investigate chains of prime ideals in any fiber product of morphisms in the category of commutative ring. After computing explicitly the Krull dimension of a fiber product in some particular relevant cases, we provide some bounds for it in general and we illustrate their sharpness by providing appropriate examples.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

On the dimension of fiber products of commutative rings

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年10月24日

查看全文
  • Désirée Basile,
  • Carmelo Antonio Finocchiaro

摘要

The aim of this paper is to investigate chains of prime ideals in any fiber product of morphisms in the category of commutative ring. After computing explicitly the Krull dimension of a fiber product in some particular relevant cases, we provide some bounds for it in general and we illustrate their sharpness by providing appropriate examples.