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Divided power structure

In mathematics, specifically commutative algebra, a divided power structure is a way of introducing items with similar properties as expressions of the form x n / n ! {\displaystyle x^{n}/n!} have, also when it is not possible to actually divide by n ! {\displaystyle n!} . Just like there are polynomial algebras on n generators, there the foundational…

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Applications

PD differential operatorsCrystalline cohomologyCharacteristicFunctor
4 related topics

Definition of a divided power structure

Commutative ringIdealInteger
3 related topics

Constructions

Universal constructionLinear mapFree module
3 related topics

Examples

Symmetric algebraCompletion
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Definition of a divided power structure

Examples

Constructions

Applications

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Divided power structure

Nodes20
Edges19
Triples8
Avg. degree1.9
Density0.1
Components1

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Divided power structure

Top relations

related to Definition of a divided power structure · 4
Divided power structure → French, Let, PD-structure, The
related to Examples · 3
Divided power structure → If, Indeed, The
is a · 1
Divided power structure → way of introducing items with similar properties as expressions of the form x n / n

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Important terminology

displaystyle divided power algebra gamma structure free ring generators ideal algebras mathematics tfrac dual section cohomology polynomial definition also one

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Divided power structureis away of introducing items with similar properties as expressions of the form x n / n0.90text
Divided power structurerelated to Definition of a divided power structureThe0.60section
Divided power structurerelated to Definition of a divided power structureLet0.60section
Divided power structurerelated to Definition of a divided power structurePD-structure0.60section
Divided power structurerelated to Definition of a divided power structureFrench0.60section
Divided power structurerelated to ExamplesThe0.60section
Divided power structurerelated to ExamplesIf0.60section
Divided power structurerelated to ExamplesIndeed0.60section

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