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The Duality between Corings and Ring Extensions
Institute of Mathematics of the Romanian Academy, 21 Calea Grivitei Street, 010702 Bucharest, Romania
Department of Theoretical Physics and Computer Science, University of Łodz, Pomorska 149/153, 90-236, Łodz, Poland
* Author to whom correspondence should be addressed.
Received: 29 June 2012; in revised form: 24 July 2012 / Accepted: 30 July 2012 / Published: 10 August 2012
Abstract: 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.
Keywords: corings; ring extension; duality; Yang–Baxter equation
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Cite This Article
MDPI and ACS Style
Nichita, F.F.; Zielinski, B. The Duality between Corings and Ring Extensions. Axioms 2012, 1, 173-185.
Nichita FF, Zielinski B. The Duality between Corings and Ring Extensions. Axioms. 2012; 1(2):173-185.
Nichita, Florin F.; Zielinski, Bartosz. 2012. "The Duality between Corings and Ring Extensions." Axioms 1, no. 2: 173-185.