# 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.

#### References

SHOWING 1-10 OF 14 REFERENCES

Elements of mathematics, Commutative algebra

- 1972