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Dieudonné module

In mathematics, a Dieudonné module introduced by Jean Dieudonné (1954, 1957b), is a module over the non-commutative Dieudonné ring, which is generated over the ring of Witt vectors by two special endomorphisms F {\displaystyle F} and V {\displaystyle V} called the Frobenius and Verschiebung operators. They are used for studying finite flat commutative…

Overview, Dieudonné crystal & Dieudonné rings

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Overview

JeanDieudonné1957bModuleWitt vectorsFrobenius
19 related topics

Dieudonné crystal

CrystalCrystalline cohomologyPrismatic cohomology
3 related topics

Dieudonné rings

Free module
1 related topics

Dieudonné modules and groups

Abelian category
1 related topics

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Overview

Dieudonné rings

Dieudonné modules and groups

Examples

Dieudonné–Manin classification theorem

Dieudonné crystal

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Dieudonné module

Nodes33
Edges32
Triples96
Avg. degree1.94
Density0.060606
Components1

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Dieudonné module

Top relations

related to References · 60
Dieudonné module → AG, Akademiya Nauk SSSR, Alexander, American Journal, Anschütz, Arthur-César, BF01342790, Bibcode, Breen, Bruxelles, Colloq, Dieudonné, EMS PressGrothendieck, Encyclopedia, Forum, Groupes, Groupes Algébriques, Igor, II, ISSN
related to Dieudonné crystal · 14
Dieudonné module → Anschütz-Le Bras, Berthelot, Bhatt, Breen, Dieudonné, FV, Grothendieck, Madapusi-Mondal, Messing, Mondal, Scholze, They, Very, VF
related to Dieudonné–Manin classification theorem · 8
Dieudonné module → Dieudonné, Fv, It, Manin, More, The, The Dieudonné, YuriManin
related to Examples · 5
Dieudonné module → Dieudonné, For, Frob, Frobenius, If
related to The Dieudonné module of a group scheme · 5
Dieudonné module → Dieudonné, Hom, If, The Dieudonné, Witt
related to External links · 4
Dieudonné module → Dieudonné, Patrick, PDF, Walls

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Important terminology

dieudonné displaystyle group modules module schemes commutative finite witt groups ring vectors mr theory field characteristic used flat verschiebung scheme

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Dieudonné modulerelated to Dieudonné crystalDieudonné0.60section
Dieudonné modulerelated to Dieudonné crystalVF0.60section
Dieudonné modulerelated to Dieudonné crystalFV0.60section
Dieudonné modulerelated to Dieudonné crystalGrothendieck0.60section
Dieudonné modulerelated to Dieudonné crystalBerthelot0.60section
Dieudonné modulerelated to Dieudonné crystalBreen0.60section
Dieudonné modulerelated to Dieudonné crystalMessing0.60section
Dieudonné modulerelated to Dieudonné crystalThey0.60section
Dieudonné modulerelated to Dieudonné crystalVery0.60section
Dieudonné modulerelated to Dieudonné crystalBhatt0.60section
Dieudonné modulerelated to Dieudonné crystalScholze0.60section
Dieudonné modulerelated to Dieudonné crystalAnschütz-Le Bras0.60section

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