In mathematics, a Dieudonné module introduced by Jean Dieudonné (1954, 1957b), is a module over the non-commutative Dieudonné ring, which is generated...

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...

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...

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...

and Renormalization. Springer. ISBN 9783540303084. Cotangent complex Dieudonné module MacMahon's master theorem "Pierre Cartier". Institute for Advanced...

ramification theory, crystalline cohomology converts this situation into Dieudonné module theory, giving an important handle on arithmetic problems. Conjectures...

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...

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...

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...

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...

theory (Nakayama 1939), (Nakayama 1941). Jean Dieudonné used this to characterize Frobenius algebras (Dieudonné 1958). Frobenius algebras were generalized...

{\displaystyle {\mathcal {F}}} of O X {\displaystyle {\mathcal {O}}_{X}} -modules that has a local presentation, that is, every point in X {\displaystyle...

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"...

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...

Raynaud 1971, pp. 7–8 EGA 0IV, Définition 16.4.9 Grothendieck, Alexandre; Dieudonné, Jean (1961). "Eléments de géométrie algébrique: III. Étude cohomologique...

Grothendieck, EGA IV, Part 3, Théorème 8.11.1. Grothendieck, Alexandre; Dieudonné, Jean (1966). "Éléments de géométrie algébrique: IV. Étude locale des...

space that has an inverse with respect to tensor product of sheaves of modules. It is the equivalent in algebraic geometry of the topological notion of...

University with thesis Abelian varieties over a perfect field and Dieudonné Modules. After completing his Ph.D., Oda was an associate professor at Nagoya...

Grothendieck & Dieudonné 1960, 5.4.6 Stacks, Morphisms of schemes. Lemma 4.1 Stacks, Morphisms of schemes. Lemma 27.2 Grothendieck, Alexandre; Dieudonné, Jean...

closure in its quotient field is a finitely generated A {\displaystyle A} -module. It is called a Japanese ring (or an N-2 ring) if for every finite extension...

Dieudonné. ——; Dieudonné, Jean (1939). "Note de tératopologie II". Revue scientifique (Or, "Revue rose"): 180–81. Presumptive author: Jean Dieudonné....

ring. ◻ {\displaystyle \square } Grothendieck & Dieudonné 1961, § 5.7. Grothendieck, Alexandre; Dieudonné, Jean (1965). "Éléments de géométrie algébrique:...

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...

"Éléments de géométrie algébrique". Dieudonné 1985, Chapters IV and V. Dieudonné 1985, sections VII.2 and VII.5. Dieudonné 1985, section VII.4. Chevalley,...

mathematics, a topological space (X, T) is called completely uniformizable (or Dieudonné complete) if there exists at least one complete uniformity that induces...

physics. Noether was described by Pavel Alexandrov, Albert Einstein, Jean Dieudonné, Hermann Weyl and Norbert Wiener as the most important woman in the history...

are another variation related to overconvergent cohomology theories. A Dieudonné crystal is a crystal with Verschiebung and Frobenius maps. An F-crystal...

(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...

Glossary of module theory Grothendieck & Dieudonné 1964, §1.4.1 Anderson, Frank W.; Fuller, Kent R. (1992), Rings and categories of modules, Graduate Texts...

Algebra". arXiv:1409.1169 [math.AC]. Grothendieck & Dieudonné 1964, §1.4 Grothendieck & Dieudonné 1964, §1.6 Brandenburg, Martin (2014-10-07). "Tensor...