Morita Theory for corings and cleft entwining structures

Mathematics – Rings and Algebras

Scientific paper

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27 pages

Scientific paper

Using the theory of corings, we generalize and unify Morita contexts
introduced by Chase and Sweedler, Doi, and Cohen, Fischman and Montgomery. We
discuss when the contexts are strict. We apply our theory corings arising from
entwining structures, and this leads us to the notion of cleft entwining
structure.

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