Coalgebra Extensions and Algebra Coextensions of Galois Type

Details Coalgebra Extensions and Algebra Coextensions of Galois Type Coalgebra Extensions and Algebra Coextensions of Galois Type

1997-08-09

arxiv.org/abs/q-alg/9708010v2

Commun. Algebra, 27:1347-1367, 1999

Mathematics

Quantum Algebra

21 pages, LaTeX, uses amssymb. Major revision. Version to appear in Commun. Algebra

Scientific paper

The notion of a coalgebra-Galois extension is defined as a natural generalisation of a Hopf-Galois extension. It is shown that any coalgebra-Galois extension induces a unique entwining map $\psi$ compatible with the right coaction. For the dual notion of an algebra-Galois coextension it is also proven that there always exists a unique entwining structure compatible with the right action.

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