An explicit ladder of homotopy categories

Huanhuan Li

doi:10.1007/s11401-020-0195-8

An explicit ladder of homotopy categories

Huanhuan Li

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

Abstract

For an upper triangular matrix ring, an explicit ladder of height 2 of triangle functors between homotopy categories is constructed. Under certain conditions, the author obtains a localization sequence of homotopy categories of acyclic complexes of injective modules.

Original language	English
Pages (from-to)	209-226
Number of pages	18
Journal	Chinese Annals of Mathematics. Series B
Volume	41
Issue number	2
DOIs	https://doi.org/10.1007/s11401-020-0195-8
Publication status	Published - 1 Mar 2020

Bibliographical note

Publisher Copyright:
© 2020, The Editorial Office of CAM and Springer-Verlag Berlin Heidelberg.

Keywords

homotopy theory
rings (algebra)

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10.1007/s11401-020-0195-8

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title = "An explicit ladder of homotopy categories",

abstract = "For an upper triangular matrix ring, an explicit ladder of height 2 of triangle functors between homotopy categories is constructed. Under certain conditions, the author obtains a localization sequence of homotopy categories of acyclic complexes of injective modules.",

keywords = "homotopy theory, rings (algebra)",

author = "Huanhuan Li",

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year = "2020",

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doi = "10.1007/s11401-020-0195-8",

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AB - For an upper triangular matrix ring, an explicit ladder of height 2 of triangle functors between homotopy categories is constructed. Under certain conditions, the author obtains a localization sequence of homotopy categories of acyclic complexes of injective modules.

KW - homotopy theory

KW - rings (algebra)

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DO - 10.1007/s11401-020-0195-8

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EP - 226

JO - Chinese Annals of Mathematics. Series B

JF - Chinese Annals of Mathematics. Series B

IS - 2

ER -

An explicit ladder of homotopy categories

Abstract

Bibliographical note

Keywords

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