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<p>We provide a general method to glue complete hereditary cotorsion pairs along recollements of exact categories. This leads to an explicit procedure to glue hereditary exact model structures for recollements of exact categories, and thus to lift these model structures to recollements of their associated homotopy categories. Applications are given to contraderived categories, projective stable derived categories and stable categories of Gorenstein injective modules over triangular matrix rings.</p>

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Gluing and Lifting Exact Model Structures for the Recollement of Exact Categories

  • 期刊论文

  • 发表日期：

    2025年8月26日

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  • Jiangsheng Hu,
  • Haiyan Zhu,
  • Rongmin Zhu

摘要

We provide a general method to glue complete hereditary cotorsion pairs along recollements of exact categories. This leads to an explicit procedure to glue hereditary exact model structures for recollements of exact categories, and thus to lift these model structures to recollements of their associated homotopy categories. Applications are given to contraderived categories, projective stable derived categories and stable categories of Gorenstein injective modules over triangular matrix rings.