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| An Explicit Ladder of Homotopy Categories |
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Citation： |
Huanhuan LI.An Explicit Ladder of Homotopy Categories[J].Chinese Annals of Mathematics B,2020,41(2):209~226 |
| Page view： 845
Net amount： 729 |
Authors： |
Huanhuan LI; |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (Nos.11522113, 11571329). |
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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. |
Keywords： |
Triangular matrix ring, Homotopy category, Recollememt |
Classification： |
16G10, 18E30, 18G35 |
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