Scholarlink

<p>We are dealing with modules of cotorsion pairs over commutative rings, especially when they are <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\({\Sigma }\)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="normal">Σ</mi> </math></EquationSource> </InlineEquation>-modules, i.e. their infinite direct sums also belong to the same class. We prove a few results about their structures and their direct decompositions. As an example, cotorsion pairs generated by finitely generated modules are briefly discussed.</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

\({\Sigma }\)-Modules in cotorsion Pairs

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年9月10日

查看全文
  • László Fuchs

摘要

We are dealing with modules of cotorsion pairs over commutative rings, especially when they are \({\Sigma }\) Σ -modules, i.e. their infinite direct sums also belong to the same class. We prove a few results about their structures and their direct decompositions. As an example, cotorsion pairs generated by finitely generated modules are briefly discussed.