Racines approchées, suites génératrices, suffisance des jets
Regular Sequences in Rees and Symmetric Algebras II.
Regularity and intersections of bracket powers
Among reduced Noetherian prime characteristic commutative rings, we prove that a regular ring is precisely that where the 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.
Résultats récents sur l'approximation des morphismes en algèbre commutative