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Decomposition of the Grothendieck Group of Stable Categories of Finite Groups

โœ Scribed by A. I. Generalov; I. O. Isametdinov


Book ID
110395364
Publisher
Springer US
Year
2002
Tongue
English
Weight
224 KB
Volume
112
Category
Article
ISSN
1573-8795

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Relations for the Grothendieck groups of
โœ Jie Xiao; Bin Zhu ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 132 KB

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,