STRONGLY WP -GORENSTEIN MODULES

Abstract

In this paper, for a xed semidualizing bimodule C =S CR, we introduce the
notion of strongly WP -Gorenstein modules and give the foxby equivalence between the categories of DP(R)\AC(R) and DCP(R)\BC(S). Then we investigate the properties of strongly WP -Gorenstein modules and dimensions.

Key words and phrases: semidualizing module; stronglyWP -Gorenstein module; C-projective
module.