Generalizing the notion of Galois corings, Galois comodules were introduced as comodules
P over an A-coring 𝒞 for which PA is finitely generated and projective and the evaluation …

Galois comodules of a coring are studied. The conditions for a simple comodule to be a
Galois comodule are found. A special class of Galois comodules termed principal …

Galois comodules over a coring can be characterised by properties of the relative injective
comodules. They motivated the definition of Galois functors over some comonad (or monad) …

Galois extensions as functors of comodules Page 1 manuscripta math. 59, 391 397 (1987)
manuscripta mathemati ca @ Springcr-Verlag 1987 GALOIS EXTENSIONS AS FUNCTORS OF …

We show the close connection between apparently different Galois theories for comodules
introduced recently in [J. Gómez-Torrecillas and J. Vercruysse, Comatrix corings and Galois …

Comonads and Galois Corings Page 1 Appl Categor Struct (2006) 14:579–598 DOI 10.1007/s10485-006-9049-0
Comonads and Galois Corings J. Gómez-Torrecillas Received: 7 March 2006 / Accepted …

For a long period the theory of modules over rings on the one hand and comodules and
Hopf modules for coalgebras and bialgebras on the other side developed quite …

For a given entwining structure (A, C) ψinvolving an algebraA, a coalgebraC, and an
entwining map ψ: C⊗ A→ A⊗ C, a categoryMCA (ψ) of right (A, C) ψ-modules is defined and …

We study the corings whose category of right comodules has a finitely generated projective
generator. In order to extricate the structure of these corings, we introduce the notion of …

We consider a Hopf Galois extension BA, for A a comodule algebra over the Hopf algebra H
with coinvariant algebra B. After giving a number of examples, we discuss Galois extensions …