The Gorenstein transpose of comodules
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Let $\Gamma$ be a Gorenstein coalgebra over a filed $k$. We introduce the Gorenstein transpose via a minimal Gorenstein injective copresentation of a quasi-finite $\Gamma$-comodule, and obtain a relation between a Gorenstein transpose of a quasi-finite comodule and a transpose of the same comodule. As an application, we obtain that the almost split sequences are constructed in terms of Gorenstein transpose.
Abstract
Let $\Gamma$ be a Gorenstein coalgebra over a filed $k$. We introduce the Gorenstein transpose via a minimal Gorenstein injective copresentation of a quasi-finite $\Gamma$-comodule, and obtain a relation between a Gorenstein transpose of a quasi-finite comodule and a transpose of the same comodule. As an application, we obtain that the almost split sequences are constructed in terms of Gorenstein transpose.
참고문헌 (11)
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