INDUCED HOPF CORING STRUCTURES

Title & Authors
INDUCED HOPF CORING STRUCTURES
Saramago, Rui Miguel;

Abstract
Hopf corings are dened in this work as coring objects in the category of algebras over a commutative ring R. Using the Dieudonn$\small{\`{e}}$ equivalences from [7] and [19], one can associate coring structures built from the Hopf algebra $\small{F_p[x_0,x_1,{\ldots}]}$, p a prime, with Hopf ring structures with same underlying connected Hopf algebra. We have that $\small{F_p[x_0,x_1,{\ldots}]}$ coring structures classify thus Hopf ring structures for a given Hopf algebra. These methods are applied to dene new ring products in the Hopf algebras underlying known Hopf rings that come from connective Morava $\small{{\kappa}}$-theory.
Keywords
Hopf algebras;Hopf rings;Dieudonne modules;homotopy theory;
Language
English
Cited by
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