Hereditary and Formally Smooth Coalgebras
by Jara, P.; Merino, L.; Llena, D.; Ştefan, D.
We define formally smooth coalgebras and we study their relation with hereditary coalgebras. The main result of the paper establishes that a coalgebra with separable coradical is hereditary if and only if it is formally smooth if and only if it is the cotensor coalgebra
$T_{C_{0}}(N)$
, where C0 is the coradical of C and N is a certain (C0,C0)–bicomodule.
DOI: 10.1007/s00000-005-8110-3
Print publication date: 8/1/2005
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