• In mathematics, a Dieudonné module introduced by Jean Dieudonné (1954, 1957b), is a module over the non-commutative Dieudonné ring, which is generated...
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  • published in 1955), and on formal groups, introducing what now are called Dieudonné modules, had a major effect on those fields. He was born and brought up in...
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  • Thumbnail for Group scheme
    corresponding Dieudonné modules, e.g., connected p-group schemes correspond to D-modules for which F is nilpotent, and étale group schemes correspond to modules for...
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  • GK and some linear algebraic structure and to consider so-called Dieudonné modules D B ( V ) = ( B ⊗ Q p V ) G K {\displaystyle D_{B}(V)=(B\otimes _{\mathbf...
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  • Thumbnail for Nicolas Bourbaki
    Dieudonné. ——; Dieudonné, Jean (1939). "Note de tératopologie II". Revue scientifique (Or, "Revue rose"): 180–81. Presumptive author: Jean Dieudonné....
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  • ramification theory, crystalline cohomology converts this situation into Dieudonné module theory, giving an important handle on arithmetic problems. Conjectures...
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  • complete symmetric function hr to hr/n if n divides r and to 0 otherwise. Dieudonné module Demazure, Michel (1972), Lectures on p-divisible groups, Lecture Notes...
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  • Thumbnail for Pierre Cartier (mathematician)
    and Renormalization. Springer. ISBN 9783540303084. Cotangent complex Dieudonné module MacMahon's master theorem "Pierre Cartier". Institute for Advanced...
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  • except that M is a module for the quotient field K of W rather than W. The Dieudonné–Manin classification theorem was proved by Dieudonné (1955) and Manin...
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  • Frobenius algebra (category Module theory)
    theory (Nakayama 1939), (Nakayama 1941). Jean Dieudonné used this to characterize Frobenius algebras (Dieudonné 1958). Frobenius algebras were generalized...
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  • sheaf of O-modules or simply an O-module over a ringed space (X, O) is a sheaf F such that, for any open subset U of X, F(U) is an O(U)-module and the restriction...
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  • In commutative algebra, the support of a module M over a commutative ring R is the set of all prime ideals p {\displaystyle {\mathfrak {p}}} of R such...
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  • Théorème 8.11.1. Stacks Project, Tag 01WG. Grothendieck, Alexandre; Dieudonné, Jean (1966). "Éléments de géométrie algébrique: IV. Étude locale des...
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  • {\displaystyle {\mathcal {F}}} of O X {\displaystyle {\mathcal {O}}_{X}} -modules that has a local presentation, that is, every point in X {\displaystyle...
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  • mathematics, a topological space (X, T) is called completely uniformizable (or Dieudonné complete) if there exists at least one complete uniformity that induces...
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  • University with thesis Abelian varieties over a perfect field and Dieudonné Modules. After completing his Ph.D., Oda was an associate professor at Nagoya...
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  • Grothendieck & Dieudonné 1960, 5.4.6 Stacks, Morphisms of schemes. Lemma 4.1 Stacks, Morphisms of schemes. Lemma 27.2 Grothendieck, Alexandre; Dieudonné, Jean...
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  • "Éléments de géométrie algébrique". Dieudonné 1985, Chapters IV and V. Dieudonné 1985, sections VII.2 and VII.5. Dieudonné 1985, section VII.4. Chevalley,...
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  • géométrie algébrique, Ch 0, 4.1.1. Section 0.4 of Grothendieck, Alexandre; Dieudonné, Jean (1960). "Éléments de géométrie algébrique: I. Le langage des schémas"...
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  • space which has an inverse with respect to tensor product of sheaves of modules. It is the equivalent in algebraic geometry of the topological notion of...
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  • (2015) p. 97, § 3.89 Halmos (1974) p. 34, § 22, Theorem 2 Dieudonné (1976) p. 65, § 12.14.8 Dieudonné (1976) p. 54, § 12.11.3 Axler, Sheldon (2015). Linear...
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  • of commutative rings A → B → C and a C-module L there is an exact sequence of A-modules (Grothendieck & Dieudonné 1964, 20.2.3.1) 0 → Der B ⁡ ( C , L )...
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  • Thumbnail for Emmy Noether
    physics. She was described by Pavel Alexandrov, Albert Einstein, Jean Dieudonné, Hermann Weyl and Norbert Wiener as the most important woman in the history...
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  • 153–185. Grothendieck & Dieudonné 1971, Ch. 0I, Définitions (2.3.1), (2.3.2) and (2.3.10), pp. 55-57 Grothendieck & Dieudonné 1964, Ch. I, Théorème (1...
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  • Raynaud 1971, pp. 7–8 EGA 0IV, Définition 16.4.9 Grothendieck, Alexandre; Dieudonné, Jean (1961). "Eléments de géométrie algébrique: III. Étude cohomologique...
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  • glossary of algebraic geometry, glossary of ring theory and glossary of module theory. In this article, all rings are assumed to be commutative with identity...
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  • Grothendieck, Alexandre; Jean Dieudonné (1964), "Éléments de géométrie algébrique (rédigés avec la collaboration de Jean Dieudonné) : IV. Étude locale des schémas...
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  • are another variation related to overconvergent cohomology theories. A Dieudonné crystal is a crystal with Verschiebung and Frobenius maps. An F-crystal...
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  • flatness and generic freeness state that under certain hypotheses, a sheaf of modules on a scheme is flat or free. They are due to Alexander Grothendieck. Generic...
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  • {\displaystyle A\to B} is called flat if it is a homomorphism that makes B a flat A-module. A morphism of schemes is called faithfully flat if it is both surjective...
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