This paper continues part of the investigation begun in [3], henceforth referred to as HLS,
into the structure of the algebras arising from the relaxation of the 2-cocycle condition of …

Weak coalgebra-Galois extensions are studied. A notion of an invertible weak entwining
structure is introduced. It is proven that, within an invertible weak entwining structure, the …

Let Cover A be a purely inseparable Galois ring extension of exponent one. Let R over A be
a faithfully flat ring extension. In this paper, we give a simple explicit description for the …

Introduction. In 3], SU Chase, DK Harrison and A. Rosenberg developed a Galois theory for
commutative ring extensions SR under the assumption that S is separable as an R-algebra …

We develop some basic functorial techniques for the study of the categories of comodules
over corings. In particular, we prove that the induction functor stemming from every …

Let R be a commutative ring with identity, and G a finite abelian group. Let H*(R, G) be the
second Harrison cohomology group defined in [6], and E (GR) the group of isomorphism …

1. K 2. there exists xl, x yl, ye S such that for all ae G, xa (y) 1 if ae= 0 if ae where if H is a
subgroup of G, S denotes {xeS la (x) x for all aeH} This paper has as its purpose thestudy of …

Let G be a finite group of automorphisms of a ring B, and let A be the subring of G-invariant
elements of B. Call B an outer semi-Galois extension of A, if the centralizer of A in B is the …

The so called dense pairings were studied mainly by Radford in his work on coreflexive
coalegbras over fields. They were generalized in a joint paper with Gómez-Torricillas and …

In [2] M. Auslander and 0. Goldman introduced the notion of a Galois extension of
commutative rings. Further work by DK Harrison [9] indicates that the notion of a Galois …