Open AccessFrom short exact sequences of abelian categories to short exact sequences of homotopy categories and derived categories
Author(s) -
Yilin Wu,
AUTHOR_ID,
Guodong Zhou
Publication year - 2022
Publication title -
electronic research archive
Language(s) - English
Resource type - Journals
ISSN - 2688-1594
DOI - 10.3934/era.2022028
Subject(s) - abelian group , mathematics , exact sequence , homotopy , abelian category , pure mathematics , sequence (biology) , biology , genetics
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.