abstract. let (r, m) be a noetherian local ring. in this paper, we introduce a dual
notion for dualizing modules, namely codualizing modules. we study the basic properties
of codualizing modules and use them to establish an equivalence between the category of
noetherian modules of finite projective dimension and the category of artinian modules
of finite projective dimension. next, we give some applications of codualizing modules.
finally, we present a mixed identity involving quasidualizing module that characterize
the codualizing module. as an application, we obtain a necessary and sufficient condition
for r to be gorenstein.