Calabi-Yau coalgebras
Rings and Algebras
2010-10-08 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1010.1055,
title = {Calabi-Yau coalgebras},
author = {J. -W. He and B. Torrecillas and F. Van Oystaeyen and Y. Zhang},
journal= {arXiv preprint arXiv:1010.1055},
year = {2010}
}