Foxby equivalence relative to C-fp_n-injective and C-fp_{n}-flat modules

Let R and S be rings, C= {}_SC_R a (faithfully) semidualizing bimodule, and n a positive integer or n=\infty. In this paper, we introduce the concepts of C-fp_n-injective R-modules and C-fp_n-flat S-modules as a common generalization of some known modules such as C-FP_{n}-injective (resp. C-weak injective) R-modules and C-FP_{n}-flat (resp.... Show more