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From short exact sequences of abelian categories to short exact sequences of homotopy categories and derived categories

Wu, Yilin*; Zhou, Guodong
Science Citation Index Expanded
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摘要

We show that a short exact sequence of abelian categories gives rise to short exact sequences of abelian categories of complexes, homotopy categories and unbounded derived categories, refining a result of J. Miyachi.

关键词

abelian categories homotopy categories unbounded derived categories short exact sequences recollements