The Duality between Corings and Ring Extensions

Axioms

Florin F. Nichita¹ 

[1] Institute of Mathematics of the Romanian Academy, 21 Calea Grivitei Street, 010702 Bucharest, Romania

关键词: corings;    ring extension;    duality;    Yang–Baxter equation;   

DOI  :  10.3390/axioms1020173

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2012 by the authors; licensee MDPI, Basel, Switzerland.