Duality for Hopf orders

DOI10.1090/S0002-9947-05-03728-1zbMath1084.16013OpenAlexW2045988160MaRDI QIDQ5713169

Lindsay N. Childs, Robert G. Underwood

Publication date: 12 December 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-05-03728-1

zbMATH Keywords

group algebrasGalois groupsextensionsvaluation ringsdualityformal groups\(p\)-adic fieldsHopf ordersLarson ordersGreither orderscohomological orderscyclic group ringsdual ordersduality orderstriangular orders

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Group rings (16S34) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Formal groups, (p)-divisible groups (14L05) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (7)

Breuil–Kisin Modules and Hopf Orders in Cyclic Group Rings ⋮ Sufficient conditions for large Galois scaffolds ⋮ Realizable Hopf orders in \(KC_{p^3}\). ⋮ Hopf orders via Breuil modules. ⋮ p-ADIC ORDER BOUNDED GROUP VALUATIONS ON ABELIAN GROUPS ⋮ Dual Hopf orders in group rings of elementary Abelian \(p\)-groups. ⋮ Primitively generated Hopf orders in characteristicp

Cites Work

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• The valuative condition and R-Hopf algebra orders in KC p3
• Group schemes of prime order
• A note on extensions of algebraic and formal groups. IV: Kummer-Artin-Schreier-Witt theory of degree \(p^2\)

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