GORENSTEIN HOMOLOGICAL COALGEBRAS AND QUASI-FROBENIUS BICOMODULES

GORENSTEIN HOMOLOGICAL COALGEBRAS AND QUASI-FROBENIUS BICOMODULES

In this paper, we prove that the class of Gorenstein coflat comodules is preserved under Frobenius functors. As a generalization of the Frobenius functors and Frobenius morphism of coalgebras, we obtain that if φ : C → D is a right quasi-Frobenius morphism of coalgebras and _DC is a cogenerator, then X is a Gorenstein injective right C-comodule if and only if X is a Gorenstein injective right D-comodule.

(0)

(0)

(0)

(0)