Dieudonné module structures for ungraded and periodically graded Hopf rings.

DOI10.1007/S10468-009-9135-8zbMath1210.16031OpenAlexW2052373582MaRDI QIDQ605327

Rui Miguel Saramago

Publication date: 23 November 2010

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-009-9135-8

zbMATH Keywords

Hopf algebrasDieudonné modulesequivalences of categoriesDieudonné ringsgroup schemes over perfect fieldsHopf rings

Mathematics Subject Classification ID

Abelian categories, Grothendieck categories (18E10) Hopf algebras (aspects of homology and homotopy of topological groups) (57T05) Filtered associative rings; filtrational and graded techniques (16W70) Hopf algebras and their applications (16T05)

Related Items (3)

Dieudonné rings associated with $K(n)_\ast \underline {k(n)}_{ \ast }$ ⋮ Connected Hopf corings and their Dieudonné counterparts. ⋮ Generalized Yang-Baxter operators for Dieudonné modules.

Cites Work

• The Hopf ring for complex cobordism
• Coalgebraic algebra
• On \(\lambda\)-rings and the \(K\)-theory of infinite loop spaces
• On the structure of Hopf algebras
• Etude de la catégorie des algèbres de Hopf commutatives connexes sur un corps. (Study of the category of connected Abelian Hopf algebras over a field)
• Lectures on \(p\)-divisible groups
• On \(p\)-adic \(\lambda\)-rings and the \(K\)-theory of \(H\)-spaces
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