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Cotensor Coalgebras in Monoidal Categories

A. Ardizzoni·C. Menini·D. Stefan
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Abstract

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.

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BibTeXRIS

A. Ardizzoni, C. Menini, D. Stefan. 2005-07-16. Cotensor Coalgebras in Monoidal Categories. https://doi.org/10.1080/00927870600936856

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