Relations for the Grothendieck groups of
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Jie Xiao; Bin Zhu
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Article
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2002
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Elsevier Science
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English
β 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,