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Dieudonné rings associated with

Authors:	Rui Miguel Saramago

Affiliation:	Centro de Análise Matemática, Geometria e Sistemas Dinâmicos, Departamento de Matemática, Instituto Superior Técnico, Av. Rovisco Pais, 1049-001 Lisboa, Portugal

Abstract:	We use Dieudonné theory for periodically graded Hopf rings to determine the Dieudonné ring structure of the $mathbb{Z}/2(p^n - 1)$ -graded Morava -theory $overline{K(n)}_ast (-)$ , with an odd prime, when applied to the -spectrum $underline{k(n)}_{ ast}$ (and to $underline{K(n)}_{ ast}$ ). We also expand these results in order to accomodate the case of the full Morava -theory .

Keywords:	Hopf algebras Hopf rings Dieudonn'e modules homotopy theory

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