Axioms 2012, 1(2), 173-185; doi:10.3390/axioms1020173
Article

The Duality between Corings and Ring Extensions

1,* email and 2email
Received: 29 June 2012; in revised form: 24 July 2012 / Accepted: 30 July 2012 / Published: 10 August 2012
(This article belongs to the Special Issue Hopf Algebras, Quantum Groups and Yang-Baxter Equations)
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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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MDPI and ACS Style

Nichita, F.F.; Zielinski, B. The Duality between Corings and Ring Extensions. Axioms 2012, 1, 173-185.

AMA Style

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.

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