Corpus ID: 220793680

Regularity and intersections of bracket powers

@article{Epstein2020RegularityAI,
  title={Regularity and intersections of bracket powers},
  author={Neil M. Epstein},
  journal={arXiv: Commutative Algebra},
  year={2020}
}
Among reduced Noetherian prime characteristic commutative rings, we prove that a regular ring is precisely one where finite intersection of ideals commutes with taking bracket powers. However, reducedness is essential for this equivalence. Connections are made with Ohm-Rush content theory, intersection-flatness of the Frobenius map, and various flatness criteria. 

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