Co-Frobenius corings and adjoint functors. (Q931654)

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Co-Frobenius corings and adjoint functors.
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    Co-Frobenius corings and adjoint functors. (English)
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    26 June 2008
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    The authors study co-Frobenius corings and quasi-co-Frobenius corings over arbitrary base rings, and in particular over PF base rings. Several characterizations are given for the co-Frobenius and for the quasi-co-Frobenius properties, some of them new even in the coalgebra case. The main idea and tool is the construction of several Morita contexts and the interpretation of the (quasi)-co-Frobenius properties in terms of these contexts.
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    co-Frobenius corings
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    quasi-co-Frobenius corings
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    Morita contexts
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    quasi-co-Frobenius coalgebras
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    adjoint pairs
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    adjoint functors
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