An Explicit Ladder of Homotopy Categories

Huanhuan Li

Chinese Annals of Mathematics, Series B ›› 2020, Vol. 41 ›› Issue (2) : 209 -226.

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Chinese Annals of Mathematics, Series B ›› 2020, Vol. 41 ›› Issue (2) : 209 -226. DOI: 10.1007/s11401-020-0195-8
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An Explicit Ladder of Homotopy Categories

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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.

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Triangular matrix ring / Homotopy category / Recollememt

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Huanhuan Li. An Explicit Ladder of Homotopy Categories. Chinese Annals of Mathematics, Series B, 2020, 41(2): 209-226 DOI:10.1007/s11401-020-0195-8

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