Homological dimension of coalgebras and crossed coproducts (Q5947284)
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scientific article; zbMATH DE number 1660763
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Homological dimension of coalgebras and crossed coproducts |
scientific article; zbMATH DE number 1660763 |
Statements
Homological dimension of coalgebras and crossed coproducts (English)
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10 June 2002
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Derived functors of the cotensor product are studied. The main results are about the coalgebra cohomology of a Hopf algebra and the crossed coproduct of a coalgebra by a Hopf algebra; some applications are given. A coalgebra version of a theorem by Lorenz and Lorenz on the algebra cohomology of a Hopf algebra is proved.
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cohomology of coalgebras
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Hopf algebras
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crossed coproducts
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cotensor products
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