Corpus ID: 237532688

The $N$-Stable Category

  title={The \$N\$-Stable Category},
  author={Jeremy R. B. Brightbill and Vanessa Miemietz},
A well-known theorem of Buchweitz provides equivalences between three categories: the stable category of Gorenstein projective modules over a Gorenstein algebra, the homotopy category of acyclic complexes of projectives, and the singularity category. To adapt this result to N -complexes, one must find an appropriate candidate for the N -analogue of the stable category. We identify this “N -stable category” via the monomorphism category and prove Buchweitz’s theorem for N -complexes over a… Expand


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