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<p>Based on the recent works of M. Saorín and A. Zvonoreva on gluing (co)silting objects and of L. Angeler Hügel, R. Laking, J. S̆t̆ovíc̆ek and J. Vitória on mutating (co)silting objects, we first study further on gluing pure-injective cosilting objects in algebraically compactly generated triangulated categories and gluing cosilting complexes in the derived categories of rings. Then we discuss the compatibility of cosilting gluing and cosilting mutation.</p>

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A Note on Gluing Cosilting Objects

  • 期刊论文

  • 发表日期：

    2025年6月11日

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  • Yongliang Sun,
  • Yaohua Zhang

摘要

Based on the recent works of M. Saorín and A. Zvonoreva on gluing (co)silting objects and of L. Angeler Hügel, R. Laking, J. S̆t̆ovíc̆ek and J. Vitória on mutating (co)silting objects, we first study further on gluing pure-injective cosilting objects in algebraically compactly generated triangulated categories and gluing cosilting complexes in the derived categories of rings. Then we discuss the compatibility of cosilting gluing and cosilting mutation.