Cotorsion pairs and adjoint functors in the homotopy category of N-complexes
2019 ◽
Vol 19
(12)
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pp. 2050236
In this paper, we first construct some complete cotorsion pairs on the category [Formula: see text] of unbounded [Formula: see text]-complexes of Grothendieck category [Formula: see text], from two given cotorsion pairs in [Formula: see text]. Next, as an application, we focus on particular homotopy categories and the existence of adjoint functors between them. These are an [Formula: see text]-complex version of the results that were shown by Neeman in the category of ordinary complexes.
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2014 ◽
Vol 57
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pp. 263-284
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1991 ◽
Vol 40
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pp. 265-274
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Vol 221
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pp. 1249-1267
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Vol 12
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pp. 405-424
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2018 ◽
Vol 156
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pp. 119-141
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