Cotensor Coalgebras in Monoidal Categories

Details Cotensor Coalgebras in Monoidal Categories Cotensor Coalgebras in Monoidal Categories

2005-07-16

arxiv.org/abs/math/0507334v1

Mathematics

Quantum Algebra

Scientific paper

10.1080/00927870600936856

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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