Triangulated Categories

@article{Chen2021TriangulatedC,
  title={Triangulated Categories},
  author={Xiao-Wu Chen and Pu Zhang},
  journal={Homological Theory of Representations},
  year={2021}
}
For a self-orthogonal module T , the relation between the quotient triangulated category Db(A)/K b(addT ) and the stable category of the Frobenius category of T -Cohen-Macaulay modules is investigated. In particular, for a Gorenstein algebra, we get a relative version of the description of the singularity category due to Happel. Also, the derived category of a Gorenstein algebra is explicitly given, inside the stable category of the graded module category of the corresponding trivial extension… 

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