Connected Hopf corings and their Dieudonné counterparts

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• 作者：Rui Miguel Saramago (1)
  
• 关键词：16W30 ; 57T05 ; 18E10
• 刊名：Arabian Journal of Mathematics
• 出版年：2014
• 出版时间：September 2014
• 年：2014
• 卷：3
• 期：3
• 页码：361-371
• 全文大小：305 KB
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  3. Goerss, P.G.: Hopf rings, Dieudonné modules and d-i-eq1"> \({E_\ast \Omega^2 S^3}\) . In: Meyer, J.-P.; Morava, J.; Wilson, W.S. (eds.) Homotopy Invariant Algebraic Structures: A Conference in Honor of J. Michael Boardman, volume 239 of Contemporary Mathematics, pp. 115-74 (1999)
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  7. Saramago, R.M.: Dieudonné theory for ungraded and periodically graded Hopf rings. Ph.D. thesis, The Johns Hopkins University (2000)
  8. Saramago R.M.: Dieudonné module structures for ungraded and periodically graded Hopf rings. Algebr. Represent. Theory. 13(5), 521-41 (2010) dx.doi.org/10.1007/s10468-009-9135-8" target="_blank" title="It opens in new window">CrossRef
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  10. Schoeller C.: étude de la catégorie des algèbres de Hopf commutatives connexes sur un corps. Manusc. Math. 3, 133-55 (1970) dx.doi.org/10.1007/BF01273307" target="_blank" title="It opens in new window">CrossRef
  
• 作者单位：Rui Miguel Saramago (1)
  
  1. Departamento de Matemática, Centro de Análise Matemática, Geometria e Sistemas Dinamicos, Instituto Superior Técnico, Av. Rovisco Pais, 1049-001, Lisbon, Portugal
  
• ISSN：2193-5351

文摘

We define coring objects in the category of algebras over a perfect field of characteristic p (with connected underlying Hopf algebra) and the corresponding notion for Dieudonné modules, and prove the equivalence of the two resulting categories, extending thus the methods of Dieudonné theory for Hopf rings from Ravenel (Reunión Sobre Teoría de Homotopía, volume 1 of Serie notas de matemática y simposia, 177-94, 1975), Schoeller (Manusc Math 3:133-55, 1970), Goerss (Homotopy invariant algebraic structures: a conference in honor of J. Michael Boardman, 115-74, 1999) and Saramago (Dieudonné theory for ungraded and periodically graded Hopf rings, Ph.D. thesis, The Johns Hopkins University, 2000).