Uniqueness of enhancement for triangulated categories
β Scribed by Lunts, Valery A.; Orlov, Dmitri O.
- Book ID
- 118276257
- Publisher
- American Mathematical Society
- Year
- 2010
- Tongue
- English
- Weight
- 638 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0894-0347
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π SIMILAR VOLUMES
We show that the idempotent completion of a triangulated category has a natural structure of a triangulated category. The idempotent completion of the bounded derived category of an exact category gives the derived category of the idempotent completion. In particular, the derived category of an idem
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,