Cartan-Eilenberg FPn-injective and FPn-flat complexes

英文关键词:Cartan-Eilenberg FPn-injective complex  Cartan-Eilenberg FPn- flat complex  duality pair  cotorsion pair

中文摘要:

      

英文摘要:

      Let n ≥ 1 be an integer. In this article, we study the notions of CartanEilenberg FPn-injective and Cartan-Eilenberg FPn-flat complexes. We also investigate duality pairs relative to the Cartan-Eilenberg FPn-injective and Cartan-Eilenberg FPn-flat complexes. As applications, we obtain that any complex admits Cartan-Eilenberg FPn-injective (resp. Cartan-Eilenberg FPn- flat) cover and preenvelope and we characterize left n-coherent rings using these two classes of complexes.