The Duality between Corings and Ring Extensions
Florin F. Nichita, Bartosz Zielinski
Axioms · 2012
doi:10.3390/axioms1020173 (opens in a new tab)
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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.
Abstract licence: CC BY
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