Comonads and Galois Corings

  title={Comonads and Galois Corings},
  author={Jos{\'e} G{\'o}mez-Torrecillas},
  journal={Applied Categorical Structures},
The notion of a coring was introduced by M. E. Sweedler in [20] with the objective of formulating and proving a predual to the Jacobson-Bourbaki theorem for extensions of division rings. A fundamental argument in [20] is the following: given division rings E ⊆ A, each coideal J of the A–coring A ⊗E A gives rise to a factor coring C = A ⊗E A/J . If g ∈ C denotes the group-like element 1 ⊗E 1 + J , then D = {a ∈ A : ag = ga} is an intermediate division ring E ⊆ D ⊆ A. Moreover, we have the… CONTINUE READING

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