Coalgebra Extensions and Algebra Coextensions of Galois Type
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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 $ψ$ 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.
21 pages, LaTeX, uses amssymb. Major revision. Version to appear in Commun. Algebra
21 pages, LaTeX, uses amssymb. Major revision. Version to appear in Commun. Algebra