Separable functors in corings
We develop some basic functorial techniques for the study of the categories of comodules over corings. In particular, we prove that the induction functor stemming from every morphism of corings has a left adjoint, called ad-induction functor. This construction generalizes the known adjunctions for t...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120201270X |
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| Summary: | We develop some basic functorial techniques for the study of the
categories of comodules over corings. In particular, we prove that
the induction functor stemming from every morphism of corings has
a left adjoint, called ad-induction functor. This construction
generalizes the known adjunctions for the categories of Doi-Hopf
modules and entwined modules. The separability of the induction
and ad-induction functors are characterized, extending earlier
results for coalgebra and ring homomorphisms, as well as for
entwining structures. |
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| ISSN: | 0161-1712 1687-0425 |