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math.AC2021
Tight Hilbert Polynomial and F-rational local rings
Saipriya Dubey, Pham Hung Quy, Jugal Verma
Let be a Noetherian local ring of prime characteristic and be an -primary parameter ideal. We give criteria for F-rationality of using…
math.AC2021
Tight closure of powers of parameter ideals in hypersurface rings and their tight Hilbert polynomials
Saipriya Dubey, Vivek Mukundan, Jugal Verma
In this paper we find the tight closure of powers of parameter ideals of certain diagonal hypersurface rings. In many cases the associated graded ring with respect to tight closure…