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(Weakly) Gorenstein injective and (weakly) Gorenstein coflat comodules
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In this paper, we introduce Gorenstein coat comodules and weakly Gorenstein injective (resp. coat) comodules over any coalgebra C. We prove that, for a left semiperfect coalgebra C, a left C-comodule M is (weakly) Gorenstein coat if and only if M is (weakly) Gorenstein injective. Some properties of weakly Gorenstein injective comodules are studied.
Title: (Weakly) Gorenstein injective and (weakly) Gorenstein coflat comodules
Description:
In this paper, we introduce Gorenstein coat comodules and weakly Gorenstein injective (resp.
coat) comodules over any coalgebra C.
We prove that, for a left semiperfect coalgebra C, a left C-comodule M is (weakly) Gorenstein coat if and only if M is (weakly) Gorenstein injective.
Some properties of weakly Gorenstein injective comodules are studied.
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