On injectivity of maps between Grothendieck groups induced by completion

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/140981We 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.Commutative AlgebraK-Theory and HomologyOn injectivity of maps between Grothendieck groups induced by completiontext