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Acta Mathematica Vietnamica

Frobenius Test Exponent for Ideals Generated by Filter Regular Sequences

Duong Thi Huong , icon-email Pham Hung Quy

Abstract

Let $(R,\mathfrak m)$ be a Noetherian local ring of prime characteristic $p>0$, and $t$ an integer such that $H_{\mathfrak m}^{j}(R)/0^{F}_{H^{j}_{\mathfrak m}(R)}$ has finite length for all $j