Abstract
We study the relation between the vanishing of André-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 André-Quillen dimension with respect to complete intersection dimensions and complexity. We also investigate the relation between André-Quillen homology and an unpublished question of Foxby about complete intersection dimensions.
Acknowledgment
The author is deeply grateful to Javier Majadas Soto, for sharing the implication (iii) $\Rightarrow$ (ii) of Corollary 3.6, in the first version of this paper. He is also deeply grateful to the referee for the careful reading of this work and for giving useful comments.
Citation
Tirdad Sharif. "André-Quillen homology and complete intersection dimensions." Kodai Math. J. 47 (2) 215 - 230, June 2024. https://doi.org/10.2996/kmj47206
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