Calabi-Yau coalgebras

Details Calabi-Yau coalgebras Calabi-Yau coalgebras

2010-10-06

arxiv.org/abs/1010.1055v2

Mathematics

Rings and Algebras

Scientific paper

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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