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On Gorenstein coalgebras |
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| Authors: | Xuerong Fu Hailou Yao |
| Institution: | College of Applied Sciences, Beijing University of Technology, Beijing 100124, China |
| Abstract: | We investigate the comodule representation category over the Morita-Takeuchi context coalgebra Γ and study the Gorensteinness of Γ. Moreover, we determine explicitly all Gorenstein injective comodules over the Morita-Takeuchi context coalgebra Γ and discuss the localization in Gorenstein coalgebras. In particular, we describe its Gabriel quiver and carry out some examples when the Morita-Takeuchi context coalgebra is basic. |
| Keywords: | Gorenstein coalgebra Gorenstein injective comodule Gabriel quiver |
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