Foxby equivalence relative to $C$-$f{p}_n$-injective and $C$-$f{p}_n$-flat modules

Mostafa Amini, Alireza Vahidi, Farideh Rezaei

Let $R$ and $S$ be rings, $C={}_S{C}_R$ a (faithfully) semidualizing bimodule, and $n$ a positive integer or $n=\infty$. In this paper, we introduce the concepts of $C$-$f{p}_n$-injec…