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arxiv: 0710.5336 · v1 · submitted 2007-10-29 · 🧮 math.AC · math.KT

On injectivity of maps between Grothendieck groups induced by completion

classification 🧮 math.AC math.KT
keywords grothendieckgroupscompletiondomainexamplegiveinducedinjective
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We give an example of a local normal domain $R$ such that the map of Grothendieck groups $\G(R) \to \G(\hat R)$ is not injective. We also raise some questions about the kernel of that map.

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