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Generating relations for Grothendieck groups of trivial extension algebras

✍ Scribed by Gui Yu Yang


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2010
Tongue
English
Weight
214 KB
Volume
27
Category
Article
ISSN
1439-7617

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Relations for the Grothendieck groups of
✍ Jie Xiao; Bin Zhu πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 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,