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On the decomposition map of Grothendieck groups

✍ Scribed by Xiaoming Zhou


Book ID
110559404
Publisher
Springer-Verlag
Year
1991
Tongue
French
Weight
91 KB
Volume
206
Category
Article
ISSN
0025-5874

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On maps of Grothendieck groups induced b
✍ Yuji Kamoi; Kazuhiko Kurano πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 188 KB

We prove that the induced map G 0 (A) β†’ G 0 ( A ) by completion is injective if A is an excellent noetherian local ring that satisfies one of the following three conditions: (i) A is henselian; (ii) A is a local ring at the homogeneous maximal ideal of a homogeneous ring over a field; (iii) A has at