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math.AC2025
The Second Vanishing Theorem for Formal Local Cohomology Modules
Behruz Sadeqi
This paper establishes a second vanishing theorem for formal local cohomology modules over Noetherian local rings. We introduce the \textit{formal dimension} invariant and characte…
math.AC2025
Betti Numbers and Formal Local Cohomology Modules
Behruz Sadeqi
This article investigates the relationship between Betti numbers of finitely generated modules over a Noetherian local ring and the structure of formal local co…