Pure model structure on the category of N -complexes

• P. Bahiraei ^[1] ; J. Nazaripour ^[1]
  1. [1] University of Guilan

     University of Guilan

     Irán

     
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 39, Nº 1, 2024, págs. 119-134
• Idioma: inglés
• DOI: 10.17398/2605-5686.39.1.119
• Enlaces
  • Texto completo
• Resumen

  • 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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