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Relations for relative Grothendieck groups of rings of finite representation type

✍ Scribed by A. I. Generalov

Publisher
Springer US
Year
1998
Tongue
English
Weight
191 KB
Volume
89
Category
Article
ISSN
1573-8795

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A class of triangulated categories with a finiteness condition is singled out. These triangulated categories have Auslander-Reiten triangles. It is proved that the relations of the Grothendieck group of a triangulated category in this class are generated by all Auslander-Reiten triangles. Moreover,