An Explicit Ladder of Homotopy Categories

Citation:

Huanhuan LI.An Explicit Ladder of Homotopy Categories[J].Chinese Annals of Mathematics B,2020,41(2):209~226
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Authors:

Huanhuan LI;

Foundation:

This work was supported by the National Natural Science Foundation of China (Nos.11522113, 11571329).
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:

Triangular matrix ring, Homotopy category, Recollememt

Classification:

16G10, 18E30, 18G35
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