Abstract
Hopf corings are dened in this work as coring objects in the category of algebras over a commutative ring R. Using the Dieudonn<TEX>$\'{e}$</TEX> equivalences from [7] and [19], one can associate coring structures built from the Hopf algebra <TEX>$F_p[x_0,x_1,{\ldots}]$</TEX>, p a prime, with Hopf ring structures with same underlying connected Hopf algebra. We have that <TEX>$F_p[x_0,x_1,{\ldots}]$</TEX> 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 <TEX>${\kappa}$</TEX>-theory.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
