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.
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Fu, X., Yao, H. On Gorenstein coalgebras. Front. Math. China 11, 845–867 (2016). https://doi.org/10.1007/s11464-016-0562-7
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DOI: https://doi.org/10.1007/s11464-016-0562-7