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arXiv · 2606.09016

When is the strict closure of rings finitely generated?

Ryotaro Isobe
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Abstract

This paper investigates the finite generation of the strict closure of rings in arbitrary dimension. For a Noetherian local ring $(R, \mathfrak{m})$, we provide a sufficient condition under which the strict closure $R^*$ is finitely generated as an $R$-module. Using this result, we characterize the finite generation of the strict closure over excellent rings.

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Ryotaro Isobe. 2026-06-08. When is the strict closure of rings finitely generated?. https://arxiv.org/abs/2606.09016

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