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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…
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…
Morita Contexts for Corings and Equivalences
Jawad Y. Abuhlail
In this note we study Morita contexts and Galois extensions for corings. For a coring $\QTR{cal}{C}$ over a (not necessarily commutative) ground ring we give equivalent conditi…
Duality Theorems for Crossed Products over Rings
Jawad Y. Abuhlail
In this note we extend duality theorems for crossed products obtained by M. Koppinen and C. Chen from the case of a base field or a Dedekind domain to the case of an arbitrary noet…