When is the strict closure of rings finitely generated?
classification
🧮 math.AC
keywords
closurestrictringsfinitefinitelygeneratedgenerationarbitrary
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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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