Abstract
The notion of a Frobenius coring is introduced, and it is shown that any such coring produces a Jones-like tower of Frobenius corings and Frobenius extensions. This establishes a one-to-one correspondence between Frobenius corings and extensions.
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Acknowledgments
I would like to thank Lars Kadison, Gigel Militaru, and Robert Wisbauer for discussions and comments, and the Engineering and Physical Sciences Research Council for an Advanced Fellowship.