⊗-Pure model structure on the category of N -complexes
DOI:
https://doi.org/10.17398/2605-5686.39.1.119Keywords:
N -complexes, complete cotorsion pairs, model structure, pure derived category, pure exact structureAbstract
Let G be a closed symmetric monoidal concrete Grothendieck category. In this paper, we introduce a model structure on (CN (G), P⊗dw ) the exact category of N -complexes with the degree-wise ⊗-pure exact structure. Our result is based on the Gillespie’s Theorem by introducing two compatible cotorsion pairs on this category.
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