Frontiers of Mathematics in China >
On Gorenstein coalgebras
Received date: 26 Nov 2015
Accepted date: 19 Apr 2016
Published date: 30 Aug 2016
Copyright
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.
Xuerong FU , Hailou YAO . On Gorenstein coalgebras[J]. Frontiers of Mathematics in China, 2016 , 11(4) : 845 -867 . DOI: 10.1007/s11464-016-0562-7
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