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math.AC2024
Hilbert-Kunz Multiplicity of Fiber Product Rings and Nagata Idealizations
Victor H. Jorge-Pérez, Paulo D. C. Martins, J. A. Lima
The main purpose of this paper is to provide formulas for the Hilbert-Kunz multiplicity of fiber product rings and Nagata idealizations. We give explicit formulas for the Hilbert-K…
math.AC2024
On General fiber product rings, Poincaré series and their structure
T. H. Freitas, J. A. Lima
The present paper deals with the investigation of the structure of general fiber product rings , where , and are local rings with common residue field. We sh…