| Cartan-Eilenberg FPn-injective and FPn-flat complexes |
| Received:August 30, 2024 Revised:December 23, 2024 |
| Key Words:
Cartan-Eilenberg FPn-injective complex Cartan-Eilenberg FPn- flat complex duality pair cotorsion pair
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| Fund Project:National Natural Science Foundation of China (No. 12061061), Science and Technology project of Gansu province (22JR5RA153) |
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| Abstract: |
| 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. |
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