Abstract:
Gorenstein injective, projective and coflat comodules were introduced and studied by Asensio and Enochs et al. We further investigate these comodules and introduce $n$-Gorenstein injective, projective and coflat comodules, which give a new characterization of Gorenstein comodules.
Keywords:Gorenstein comodule, $1$-Gorenstein comodule, $n$-Gorenstein comodule, right semiperfect coalgebra.