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Grothendieck groups of subcategories

โœ Scribed by Takayoshi Wakamatsu


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
601 KB
Volume
150
Category
Article
ISSN
0021-8693

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On maps of Grothendieck groups induced b
โœ Yuji Kamoi; Kazuhiko Kurano ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 188 KB

We prove that the induced map G 0 (A) โ†’ 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