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The Duality between Corings and Ring Extensions
AbstractWe 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.
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Nichita, F.F.; Zielinski, B. The Duality between Corings and Ring Extensions. Axioms 2012, 1, 173-185.View more citation formats
Nichita FF, Zielinski B. The Duality between Corings and Ring Extensions. Axioms. 2012; 1(2):173-185.Chicago/Turabian Style
Nichita, Florin F.; Zielinski, Bartosz. 2012. "The Duality between Corings and Ring Extensions." Axioms 1, no. 2: 173-185.