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arXiv 2010-10-06 0 views

Calabi-Yau coalgebras

He, J. -W. · Torrecillas, B. · Van Oystaeyen, F. · Zhang, Y.

Original · EN

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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