Cotensor Coalgebras in Monoidal Categories
量子代数
2010-08-27 v1 范畴论
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摘要
We introduce the concept of cotensor coalgebra for a given bicomodule over a coalgebra in an abelian monoidal category. Under some further conditions we show that such a cotensor coalgebra exists and satisfies a meaningful universal property. We prove that this coalgebra is formally smooth whenever the comodule is relative injective and the coalgebra itself is formally smooth.
引用
@article{arxiv.math/0507334,
title = {Cotensor Coalgebras in Monoidal Categories},
author = {A. Ardizzoni and C. Menini and D. Stefan},
journal= {arXiv preprint arXiv:math/0507334},
year = {2010}
}