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http://dx.doi.org/10.4134/JKMS.2011.48.3.627

INDUCED HOPF CORING STRUCTURES  

Saramago, Rui Miguel (Departamento de Matematica Instituto Superior Tecnico)
Publication Information
Journal of the Korean Mathematical Society / v.48, no.3, 2011 , pp. 627-639 More about this Journal
Abstract
Hopf corings are dened in this work as coring objects in the category of algebras over a commutative ring R. Using the Dieudonn$\ equivalences from [7] and [19], one can associate coring structures built from the Hopf algebra $F_p[x_0,x_1,{\ldots}]$, p a prime, with Hopf ring structures with same underlying connected Hopf algebra. We have that $F_p[x_0,x_1,{\ldots}]$ 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 ${\kappa}$-theory.
Keywords
Hopf algebras; Hopf rings; Dieudonne modules; homotopy theory;
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