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math.AC2024
Projective Nullstellensatz for not necessarily algebraically closed fields
Rati Ludhani
The Nullstellensatz, proved by Hilbert in 1893, is a classical result that holds when the base field is algebraically closed. When the base field is finite, a version of Hilbert's…
math.AC2021★ 3 cited
On the Purity of Resolutions of Stanley-Reisner Rings Associated to Reed-Muller Codes
Sudhir R. Ghorpade, Rati Ludhani
Following Johnsen and Verdure (2013), we can associate to any linear code an abstract simplicial complex and in turn, a Stanley-Reisner ring . The ring is a standard…