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Paper   IPM / M / 16012
School of Mathematics
  Title:   Cotorsion pairs and adjoint functors in the homotopy category of N-complexes
  Author(s):  Payam Bahiraei
  Status:   Published
  Journal: J. Algebra Appl.
  Year:  2019
  Pages:   DOI: 10.1142/S0219498820502369
  Supported by:  IPM
  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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