Proceedings of the American Mathematical Society

Author(s): Rui Miguel Saramago
Journal: Proc. Amer. Math. Soc. 136 (2008), 2699-2709.
MSC (2000): Primary 16W30; Secondary 57T05, 18E10
Posted: April 10, 2008
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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 $\Omega$ -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 $K(n)_\ast (-)$ .

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 16W30, 57T05, 18E10

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
Email: saramago@math.ist.utl.pt

DOI: 10.1090/S0002-9939-08-09235-6
PII: S 0002-9939(08)09235-6
Keywords: Hopf algebras, Hopf rings, Dieudonn\'e modules, homotopy theory
Received by editor(s): May 22, 2007
Posted: April 10, 2008
Additional Notes: The author was partially supported by the Fundação para a Ciência e a Tecnologia through the Program POCI 2010/FEDER
Communicated by: Paul Goerss
Copyright of article: Copyright 2008, American Mathematical Society

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