For a ring R, the properties of being (left) self-injective or being a cogenerator for the left R-
modules do not imply one another, and the two combined give rise to the important notion of …

Properties of (most general) non-commutative torsors or A–B torsors are analysed. Starting
with pre-torsors it is shown that they are equivalent to a certain class of Galois extensions of …

1. Introduction. Let A be a ring isomorphic to the ring Jj (M, N) of all continuous linear
transformations on a pair of dual vector spaces (M, N) over a division ring Di. e. on a weakly …

Full article: Descent Cohomology and Corings Skip to Main Content Taylor and Francis Online
homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home 2.All Journals …

The adjunction between crossed modules and precrossed modules over a fixed group can
be seen as a special case of a more general adjunction between internal groupoids and …

arXiv:math/0406187v1 [math.RA] 9 Jun 2004 Page 1 arXiv:math/0406187v1 [math.RA] 9 Jun
2004 GALOIS CORINGS APPLIED TO PARTIAL GALOIS THEORY S. CAENEPEEL AND E. DE …

Throughoutthepresentpaper, allringshaveidentities, andmodulesare unitary. A subringofa
ringcontainsthesameidentity. Bya ringhomo ｭ morphism, wealwaysmeana …

A Cohomological Description of Abelian Galois Extensions Page 1 A COHOMOLOGICAL
DESCRIPTION OF ABELIAN GALOIS EXTENSIONS BY MORRIS ORZECH(l) Let J be a finite …

In his paper [1] F. Kasch developed a theory of Frobenius extensions as a generalization of
the theory of Frobenius algebras. In it he established a very interesting relationship between …

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 …