Upper bound of multiplicity in Cohen-Macaulay rings of prime characteristic

2025/02/08 by Huong, Duong Thi, Quy, Pham Hung
#13A35 #13H10 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2502.06880

Abstract

Let (R, \frak m) be a local ring of prime characteristic p and of dimension d with the embedding dimension v, type s and the Frobenius test exponent for parameter ideals Fte(R). We will give an upper bound for the multiplicity of Cohen-Macaulay rings in prime characteristic in terms of Fte(R),d,v and s. Our result extends the main results for Gorenstein rings due to Huneke and Watanabe.

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