IDEMPOTENT COMPLETION OF TRIANGULATED CATEGORIES
IDEMPOTENT COMPLETION OF TRIANGULATED CATEGORIES
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DOI：
10.1006/jabr.2000.8529
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发表时间：
2001-02
影响因子：
0.9
通讯作者：
Paul Balmer;M. Schlichting
中科院分区：
文献类型：
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作者：
Paul Balmer;M. Schlichting
证明了三角化范畴的幂等补全具有三角化范畴的自然结构。精确范畴的有界派生范畴的幂等补齐给出了幂等补齐的派生范畴。特别地，幂等完备精确范畴的推导范畴是幂等完备的。
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.