2021/04/26 by Zhan Jiang, Jiang, Zhan
Computer Science · Mathematics · #13A35 (Primary) 13J05 #13J07 (Secondary) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.2104.12867
openalex publication_date 2021/04/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We establish a series of results showing that the Jacobian ideal is contained in the test ideal. After proving a new result in characteristic p for complete rings over a field K, we extend this containment to equal characteristic 0 for affine, analytic, affine-analytic and semianalytic K-algebras. We also prove a result on equiheight algebras essentially of finite type over excellent local rings.