NDLI: On Gorenstein coalgebras

Content Provider	Springer Nature Link
Author	Fu, Xuerong Yao, Hailou
Copyright Year	2016
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.
Starting Page	845
Ending Page	867
Page Count	23
File Format	PDF
ISSN	16733452
Journal	Frontiers of Mathematics in China
Volume Number	11
Issue Number	4
e-ISSN	16733576
Language	English
Publisher	Higher Education Press
Publisher Date	2016-07-19
Publisher Institution	Chinese Universities
Publisher Place	Beijing
Access Restriction	Subscribed
Subject Keyword	Gorenstein coalgebra Gorenstein injective comodule Gabriel quiver Coalgebras and comodules; corings Localization of categories Resolutions; derived functors Mathematics
Content Type	Text
Resource Type	Article
Subject	Mathematics

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On Gorenstein coalgebras