2012•Studia Scientiarum Mathematicarum HungaricaRequires access

(Weakly) Gorenstein injective and (weakly) Gorenstein coflat comodules

Fanyun Meng

Abstract

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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Key concepts: Injective function, Mathematics, Pure mathematics, Coalgebra, Algebra over a field