Foxby equivalence relative to $C$-weak injective and $C$-weak flat modules

Zenghui Gao, Tiwei Zhao

Let $S$ and $R$ be rings and ${}_S{C}_R$ a (faithfully) semidualizing bimodule. We introduce and study $C$-weak flat and $C$-weak injective modules as a generalization of $C$-flat and…