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Paper   IPM / M / 15248
School of Mathematics
  Title:   Auslander's formula: Variations and applications
1.  Javad Asadollahi
2.  Rasooll Hafezi
3.  Razieh Vahed (Joint with N. Asadollahi)
  Status:   To Appear
  Journal: Kyoto J. Math.
  Supported by:  IPM
According to the Auslander’s formula one way of studying an abelian category C is to study mod-C, that has nicer homological properties than C, and then translate the results back to C. Recently Krause gave a derived version of this formula and thus renewed the subject. This paper contains a detailed study of various versions of the Auslander’s formula including the versions for all modules and for unbounded derived categories. We also include some results concerning recollements of triangulated categories.

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