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Paper IPM / M / 16012 |
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Abstract: | |
In this paper, we first construct some complete cotorsion pairs on the category \CN(\CG) of unbounded N-complexes of Grothendieck category \CG, from two given cotorsion pairs in \CG. Next, as an application, we focus on particular homotopy categories and the existence of adjoint functors between them. These are an N-complex version of the results that were shown by Neeman in the category of ordinary complexes.
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