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Paper   IPM / M / 17089
School of Mathematics
  Title:   Auslander-Reiten conjucture of the tilting theorem
  Author(s):  Ali Mahin Fallah
  Status:   To Appear
  Journal: J. Algebra Appl.
  Supported by:  IPM
Let Λ be a Noetherian algebra and T P Λ-mod be an n-tilting module with Γ “ EndΛpTq. Then Λ satisfies Auslander–Reiten conjecture if and only if so does Γ. As a consequence, we obtain that Auslander–Reiten conjecture is left and right symmetric for a certain Noetherian algebra.

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