The Jacobson–Bourbaki Theorem for division rings was formulated in terms of corings by
Sweedler in [ME Sweedler, The predual theorem to the Jacobson–Bourbaki Theorem …

Given a complete, cocomplete category 𝒞, we investigate the problem of describing those
small categories I such that the diagonal functor Δ: 𝒞→ Functors (I, 𝒞) is a Frobenius functor …

We investigate functors between abelian categories having a left adjoint and a right adjoint
that are similar (these functors are called quasi-Frobenius functors). We introduce the notion …

M. Sweedler introduced corings in [25], as generalization of coalgebras, to give a
formulation of a predual of the Jacobson-Bourbaki's theorem. Thus a coring over an …

Müller generalized in [12] the notion of a Frobenius extension to left (right) quasi-Frobenius
extension and proved the endomorphism ring theorem for these extensions. Recently, Guo …

The aim of this work is: 1. to study adjoint and Frobenius pairs of functors between comodule
categories over corings; 2. to extend the comatrix coring defined in [34, 16] to a quasi-finite …

We introduce and study the Picard group of a coring. We give an exact sequence relating
the Picard group of a coring and its automorphisms generalizing the known exact …

We compare several quasi-Frobenius-type properties for corings that appeared recently in
literature and provide several new characterizations for each of these properties. By …

arXiv:math/0703763v3 [math.RA] 28 Dec 2007 Adjoint and Frobenius Pairs of Functors,
Equivalences and the Picard Group for Cori Page 1 arXiv:math/0703763v3 [math.RA] 28 Dec …

We extend the comatrix coring to the case of a quasi-finite bicomodule. We also generalize
some of its interesting properties. We study equivalences between categories of comodules …