The notion of a coalgebra-Galois extension is defined as a natural generalisation of a Hopf-
Galois extension. It is shown that any coalgebra-Galois extension induces a unique …

We construct comatrix corings on bimodules without finiteness conditions by using firm rings.
This leads to the formulion of a notion of Galois coring which plays a key role in the …

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 …

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 …

The theory of general Galois-type extensions is presented, including the interrelations
between coalgebra extensions and algebra (co) extensions, properties of corresponding …

The purpose of this paper is to establish the Galois theory for a separable algebra over a
commutative ring in the sense of Auslander-Goldman [1]. The notion of Galois extension …

Let $ C $ be a coalgebra over a field $ k $ and $ A $ its dual algebra. The category of $ C $-
comodules is equivalent to a category of $ A $-modules. We use this to interpret the cotensor …

The Chern-Galois theory is developed for corings or coalgebras over noncommutative rings.
First the notion of an entwined extension as an extension of algebras within a bijective …

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 …

Introduction. Let R be a commutative ring with identity, H a finite co-commutative Hopf
algebra over R and A an//-Hopf Galois extension of R in the sense of [15]. When R is a field …