%0 Journal Article
%T The Duality between Corings and Ring Extensions
%A Florin F. Nichita
%A Bartosz Zielinski
%J Axioms
%D 2012
%I MDPI AG
%R 10.3390/axioms1020173
%X We study the duality between corings and ring extensions. We construct a new category with a self-dual functor acting on it, which extends that duality. This construction can be seen as the non-commutative case of another duality extension: the duality between finite dimensional algebras and coalgebra. Both these duality extensions have some similarities with the Pontryagin-van Kampen duality theorem.
%K corings
%K ring extension
%K duality
%K Yang¨CBaxter equation
%U http://www.mdpi.com/2075-1680/1/2/173