This research was partially supported by the National Natural Science Foundation of China (11361051, 11761060), Program for New Century Excellent Talents in University (NCET-13-0957), and Improvement of Young Teachers' Scientific Research Ability (NWNU-LKQN-16-5).
Given a cotorsion pair (X, Y) in an abelian category A, we define cotorsion pairs (XN,dgYN) and (dgXN, YN) in the category CN(A) of N-complexes on A. We prove that if the cotorsion pair (X, Y) is complete an...