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Paper   IPM / M / 17407
School of Mathematics
  Title:   Andr'e-Quillen homology and complete intersection dimensions
  Author(s):  Tirdad Sharif
  Status:   Published
  Journal: Kodai Mathematical Journal
  Vol.:  47
  Year:  2024
  Pages:   215-230
  Supported by:  IPM
  Abstract:
We study the relation between the vanishing of Andr'e-Quillen homology and complete intersection dimensions and we extend some of the existing results in the literature. As an application of one of our results, we give a characterization of algebra retracts of finite Andr'e-Quillen dimension with respect to complete intersection dimensions and complexity. We also investigate the relation between Andr'e-Quillen homology and an unpublished question of Foxby about complete intersection dimensions.

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