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

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	535-564
Number of pages	30
Journal	Electronic Research Archive
Volume	30
Issue number	2
DOIs	https://doi.org/10.3934/era.2022028
State	Published - 2022

Keywords

Abelian categories
homotopy categories
recollements
short exact sequences
unbounded derived categories

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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 - Zhou, Guodong

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PY - 2022

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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

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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

Abstract

Keywords

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