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Higher-dimensional Auslander-Reiten sequences

  • Jiangsha Li,
  • Jing He

摘要

Zhou and Zhu have shown that if \(\mathscr{C}\) C is an (n + 2)-angulated category and \(\mathscr{X}\) X is a cluster tilting subcategory of \(\mathscr{C}\) C , then the quotient category \(\mathscr{C}/\mathscr{X}\) C / X is an n-abelian category. We show that if \(\mathscr{C}\) C has Auslander-Reiten (n + 2)-angles, then \(\mathscr{C}/\mathscr{X}\) C / X has Auslander-Reiten n-exact sequences.