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Abstract：
We investigate the comodule representation category over the Morita-Takeuchi context coalgebra Gamma and study the Gorensteinness of Gamma. Moreover, we determine explicitly all Gorenstein injective comodules over the Morita-Takeuchi context coalgebra Gamma 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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FRONTIERS OF MATHEMATICS IN CHINA
ISSN： 1673-3452
Year： 2016
Issue： 4
Volume： 11
Page： 845-867
ESI Discipline： MATHEMATICS;
ESI HC Threshold：71
CAS Journal Grade：4
Cited Count：
WoS CC Cited Count： 2
SCOPUS Cited Count： 2
ESI Highly Cited Papers on the List： 0 Unfold All
WanFang Cited Count：
Chinese Cited Count：
30 Days PV： 1
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