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DIEUDONNÉ RINGS ASSOCIATED WITH K(n) * k(n) * RUI MIGUEL SARAMAGO Abstract. We use Dieudonné theory for periodically graded Hopf rings to determine the Dieudonné ring structure of the Z/2(p n − 1)-graded Morava K-theory K(n) * (−), with p an odd prime, when applied to the Ω-spectrum k(n) * (and to K(n) *). We also expand these results in order to accomodate… (More)
An enrichment of a category of Dieudonné modules is made by considering Yang–Baxter conditions, and these are used to obtain ring and coring operations on the corresponding Hopf algebras. Some examples of these induced structures are discussed, including those relating to the Morava K-theory of Eilenberg–MacLane spaces.