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

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.

Bibliographic Details
Main Authors: Yilin Wu, Guodong Zhou
Format: Article
Language:English
Published: AIMS Press 2022-02-01
Series:Electronic Research Archive
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2022028?viewType=HTML