6 citations · 8 across the 9 of their papers we have counts for
10 papers
A Note On Coinduction Functors between Categories of Comodules for Corings
Jawad Abuhlail
In this note we consider different versions of coinduction functors between categories of comodules for corings induced by a morphism of corings. In particular we introduce a new v…
Hopf Pairings and (Co)induction Functors over Commutative Rings
Jawad Y. Abuhlail
The so called induction functors appear in several areas of Algebra in different forms. Interesting examples are the induction functors in the Theory of Affine Algebraic groups. In…
On Coreflexive Coalgebras and Comodules over Commutative Rings
Jawad Y. Abuhlail
In this note we study dual coalgebras of algebras over arbitrary (noetherian) commutative rings. We present and study a generalized notion of coreflexive comodules and use the resu…
On the Linear Weak Topology and Dual Pairings over Rings
Jawad Y. Abuhlail
In this note we study the weak topology on paired modules over a (not necessarily commutative) ground ring. Over QF rings we are able to recover most of the well known properties o…
Dual Entwining Structures and Dual Entwined Modules
Jawad Y. Abuhlail
In this note we introduce and investigate the concepts of dual entwining structures and dual entwined modules. This generalizes the concepts of dual Doi-Koppinen structures and dua…
On Linear Difference Equations over Rings and Modules
Jawad Y. Abuhlail
In this note we develop a coalgebraic approach to the study of solutions of linear difference equations over modules and rings. Some known results about linearly recursive sequence…