Tight closure does not commute with localization

Abstract

We give an example showing that tight closure does not commute with localization.

final version

Cited by in corpus (5)

• F-coherent rings with applications to tight closure theory
• On the localization theorem for F-pure rings
• On deep Frobenius descent and flat bundles
• Growth of primary decompositions of Frobenius powers of ideals
• Generic bounds for Frobenius closure and tight closure