Scholarlink

<p>In the paper, we identify Cauchy sequences and 0-cocompact objects along functors in the recollements of related categories, respectively. As applications in Gorenstein homological algebra, on one hand, the bounded Gorenstein derived categories of algebras of finite Cohen-Macaulay type are characterized as a sequential completion based on Cauchy sequences. On the other hand, the set of 0-cocompact cogenerators for the Gorenstein derived categories of algebras of finite Cohen-Macaulay type are obtained.</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

A Recollement Approach to Cauchy Sequences and Cocompact Objects

  • 期刊论文

  • 发表日期：

    2025年12月11日

查看全文
  • Nan Gao,
  • Jing Ma,
  • Yuxiao Yang

摘要

In the paper, we identify Cauchy sequences and 0-cocompact objects along functors in the recollements of related categories, respectively. As applications in Gorenstein homological algebra, on one hand, the bounded Gorenstein derived categories of algebras of finite Cohen-Macaulay type are characterized as a sequential completion based on Cauchy sequences. On the other hand, the set of 0-cocompact cogenerators for the Gorenstein derived categories of algebras of finite Cohen-Macaulay type are obtained.