Doi-Koppinen Hopf modules and entwined modules unify various kinds of modules that
have been intensively studied over the past decades, such as Hopf modules, graded …

We show, for an arbitrary adjunction F⊢ U: B→ A with B Cauchy complete, that the functor F
is comonadic if and only if the monad T on A induced by the adjunction is of effective …

This is a systematic study of the behaviour of finite coverings of (affine) schemes with regard
to two Grothendieck topologies: the canonical topology and the fpqc topology. The history of …

Facets of Descent III: Monadic Descent for Rings and Algebras Page 1 Applied Categorical
Structures 12: 461–477, 2004. © 2004 Kluwer Academic Publishers. Printed in the Netherlands …

arXiv:math/0311377v1 [math.RA] 21 Nov 2003 Page 1 arXiv:math/0311377v1 [math.RA] 21
Nov 2003 Fields Institute Communications Volume 00, 0000 Galois corings from the …

We give three proofs that valuation rings are derived splinters: a geometric proof using
absolute integral closure, a homological proof which reduces the problem to checking that …

Using the theory of corings, we generalize and unify Morita contexts introduced by Chase
and Sweedler [Hopf Algebras and Galois Theory, in: Lecture Notes in Math., vol. 97 …

El Kaoutit and Gómez-Torrecillas introduced comatrix corings, generalizing Sweedler's
canonical coring, and proved a new version of the Faithfully Flat Descent Theorem. They …

We systematically study the intersection flatness and Ohm-Rush properties for modules over
a commutative ring, drawing inspiration from the work of Ohm and Rush and of Hochster and …

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) …