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 …

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 …

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 …

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 characterize the corings whose category of comodules has a generating set of small
projective comodules in terms of the (noncommutative) descent theory. In order to extricate …

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) …

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 …

This paper primarily concerns Galois cohomology groups associated to Galois
representations over a complete local ring R. The underlying Galois module and the …

Given a ring A and an A-coring C, we study when the forgetful functor from the category of
right C-comodules to the category of right A-modules and its right adjoint−⊗ AC are …

Given a finite automorphism group G of a field extension E⊃ K, E can be considered as
module over the group algebra K [G]. Moreover, E can also be viewed as a comodule over …