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Idempotent Completion of Triangulated Categories

✍ Scribed by Paul Balmer; Marco Schlichting

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
120 KB
Volume
236
Category
Article
ISSN
0021-8693

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✦ Synopsis

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 idempotent complete exact category is idempotent complete.

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