Weakly Gorenstein comodules over triangular matrix coalgebras

Abstract

In this paper, we characterise weakly Gorenstein injective and weakly Gorenstein coflat comodules over triangular matrix coalgebras by introducing the class of weakly compatible bicomodules. In particular, Gorenstein injective and Gorenstein coflat comodules are investigated.

Keywords

• triangular matrix coalgebra
• weakly gorenstein comodule
• weakly compatible bicomodule