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Cover Relations on Categories

โœ Scribed by Zurab Janelidze


Publisher
Springer
Year
2008
Tongue
English
Weight
493 KB
Volume
17
Category
Article
ISSN
0927-2852

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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,