Constructing cogenerators in triangulated categories and Brown representability

• George Ciprian Modoi ^[1]
  1. [1] Babeș-Bolyai University

     Babeș-Bolyai University

     Rumanía

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 8 (August 2015), 2015, págs. 3214-3224
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2014.10.010
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• Resumen

  • For a triangulated category with products we prove a formal criterion in order to satisfy Brown representability for covariant functors. We apply this criterion for showing that both homotopy category of projective modules and homotopy category of projective complexes satisfy this kind of representability.