A sufficient condition for strong 𝐹-regularity

De Stefani, Alessandro; Núñez-Betancourt, Luis

doi:10.1090/proc/12676

A sufficient condition for strong $F$-regularity
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by Alessandro De Stefani and Luis Núñez-Betancourt PDF

Proc. Amer. Math. Soc. 144 (2016), 21-29 Request permission

Abstract:

Let $(R,\mathfrak {m},K)$ be an $F$-finite Noetherian local ring which has a canonical ideal $I \subsetneq R$. We prove that if $R$ is $S_2$ and $H^{d-1}_{\mathfrak {m}}(R/I)$ is a simple $R\{F\}$-module, then $R$ is a strongly $F$-regular ring. In particular, under these assumptions, $R$ is a Cohen-Macaulay normal domain.

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