A note on smoothness and differential bases in positive characteristic

2008/09/26 by Cristodor Ionescu, Ionescu, Cristodor
Mathematics · #13B10. #13N05 #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.0809.4559

openalex publication_date 2008/09/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let u:A→ B be a morphism of noetherian local rings. We obtain smoothness criteria for algebras with differential bases, in the case of rings containing a field of characteristic p>0. We also give smoothness criteria for reduced morphisms.

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