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math.AC2025
The Depth Formula for modules over quotients of Gorenstein rings
Tran Nguyen An, Pham Hung Quy
A foundational result by C. Huneke and V. Trivedi provides a formula for the depth of an ideal in terms of height, computed over a finite set of prime ideals, for rings that are ho…
math.AC2025
Upper bound of multiplicity in Cohen-Macaulay rings of prime characteristic
Duong Thi Huong, Pham Hung Quy
Let be a local ring of prime characteristic and of dimension with the embedding dimension , type and the Frobenius test exponent for parameter ideals…