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IPM
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“School of Mathematics”

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Paper   IPM / M / 16035
School of Mathematics
  Title:   A functorial approach to categorical resolutions
  Author(s): 
1 . Rasool Hafezi
2 . Mohammad Hossein Keshavarz
  Status:   Publishied
  Journal: Science China Mathematics
  Year:  2020
  Pages:   DOI: 10.1007/s11425-018-1614-3
  Supported by:  IPM
  Abstract:
Using a relative version of Auslander’s formula, we give a functorial approach to show that the bounded derived category of every Artin algebra admits a categorical resolution. This, in particular, implies that the bounded derived categories of Artin algebras of finite global dimension determine bounded derived categories of all Artin algebras. Hence, this paper can be considered as a typical application of functor categories, introduced in representation theory by Auslander (1971), to categorical resolutions.

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