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

Yilin Wu; Guodong Zhou

doi:10.3934/era.2022028

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

Yilin Wu^*
, Guodong Zhou

^*此作品的通讯作者

数学科学学院

East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

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.

源语言	英语
页（从-至）	535-564
页数	30
期刊	Electronic Research Archive
卷	30
期	2
DOI	https://doi.org/10.3934/era.2022028
出版状态	已出版 - 2022

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10.3934/era.2022028

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abstract = "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.",

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author = "Yilin Wu and Guodong Zhou",

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AU - Wu, Yilin

AU - Zhou, Guodong

N1 - Publisher Copyright: © 2022 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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.

KW - Abelian categories

KW - homotopy categories

KW - recollements

KW - short exact sequences

KW - unbounded derived categories

UR - https://www.scopus.com/pages/publications/85125367343

U2 - 10.3934/era.2022028

DO - 10.3934/era.2022028

M3 - 文章

AN - SCOPUS:85125367343

SN - 2688-1594

VL - 30

SP - 535

EP - 564

JO - Electronic Research Archive

JF - Electronic Research Archive

IS - 2

ER -

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

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