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Calabi-Yau coalgebras

We provide a construction of minimal injective resolutions of simple comodules of path coalgebras of quivers with relations. Dual to Calabi-Yau condition of algebras, we introduce the Calabi-Yau condition to coalgebras. Then we give some descriptions of Calabi-Yau coalgebras with lower global dimensions. An appendix is included for listing some properties of cohom functors.

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Co-authorshipCo-authorshipCo-authorshipCo-authorshipCo-authorshipCo-authorshipAuthorshipAuthorshipAuthorshipAuthorshipTopic signalWCalabi-Yau coalgebraspreprint / 2010AJ. -W. HeResearcherAB. TorrecillasResearcherAF. Van OystaeyenResearcherAY. ZhangResearcherTmath.RA2176 works
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Calabi-Yau coalgebras

preprint / 2010

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