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Abstract
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.
1Lloyd's fellow. On leave from: Department of Theoretical Physics, University of Lódź, Pomorska 149/153, 90-236 Lódź, Poland.
2On leave from: Department of Mathematical Methods in Physics, Warsaw University, ul. Hoza 74, Warsaw, 00-682 Poland. http://info.fuw.edu.pl/KMMF/ludzie_ang.html.
1Lloyd's fellow. On leave from: Department of Theoretical Physics, University of Lódź, Pomorska 149/153, 90-236 Lódź, Poland.
2On leave from: Department of Mathematical Methods in Physics, Warsaw University, ul. Hoza 74, Warsaw, 00-682 Poland. http://info.fuw.edu.pl/KMMF/ludzie_ang.html.
Notes
1Lloyd's fellow. On leave from: Department of Theoretical Physics, University of Lódź, Pomorska 149/153, 90-236 Lódź, Poland.
2On leave from: Department of Mathematical Methods in Physics, Warsaw University, ul. Hoza 74, Warsaw, 00-682 Poland. http://info.fuw.edu.pl/KMMF/ludzie_ang.html.
