| In this paper,we introduce and study the structure of Gorenstein projective,Gorenstein injective and Gorenstein coflat comodules over triangular matrix coalgebra Γ=(?).They are extensions of projective,injective and coflat comodules respectively.The research contents are as follolws:(1)By introducing the concepts of Gorenstein projective comodules and cocompatible bicomodules,the structure of Gorenstein projective comodules over triangular matrix coal-gebras is characterized.(2)We give the concepts of Gorenstein injective comodules,weakly Gorenstein injec-tive comodules and compatible bicomodules,and characterize the structures of Gorenstein injective comodules and weakly Gorenstein injective comodules over triangular matrix coal-gebras.(3)We introduce the definitions of Gorenstein coflat and weak Gorenstein coflat co-modules,and study Gorenstein coflat and weak Gorenstein coflat structures over triangular matrix coalgebras. |
