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Perfect field

In algebra, a field K {\displaystyle K} is perfect if any one of the following equivalent conditions holds:

Measurement, Overview & Examples

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Explore the main themes, entities and connections around Perfect field. Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Overview

Examples

Field extension over a perfect field

Perfect closure and perfection

Advanced semantic analysis

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Map overview Semantic statistics

Perfect field

Nodes43
Edges42
Triples11
Avg. degree1.95
Density0.046512
Components1

How this topic connects Entity context

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Perfect field

Top relations

related to External links · 4
Perfect field → EMS Press, Encyclopedia, Mathematics, Perfect
related to Perfect closure and perfection · 4
Perfect field → Every, For, More, The
related to Field extension over a perfect field · 2
Perfect field → Any, Gamma
related to Examples · 1
Perfect field → Examples

Important terminology Word statistics

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Important terminology

displaystyle perfect every field characteristic separable extension closure fields irreducible algebraic imperfect -th polynomial ring frobenius endomorphism power finite element

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Perfect fieldrelated to ExamplesExamples0.60section
Perfect fieldrelated to External linksPerfect0.60section
Perfect fieldrelated to External linksEncyclopedia0.60section
Perfect fieldrelated to External linksMathematics0.60section
Perfect fieldrelated to External linksEMS Press0.60section
Perfect fieldrelated to Field extension over a perfect fieldAny0.60section
Perfect fieldrelated to Field extension over a perfect fieldGamma0.60section
Perfect fieldrelated to Perfect closure and perfectionEvery0.60section
Perfect fieldrelated to Perfect closure and perfectionFor0.60section
Perfect fieldrelated to Perfect closure and perfectionThe0.60section
Perfect fieldrelated to Perfect closure and perfectionMore0.60section

Related concept clusters Concept neighborhoods

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    Connections between topic areas Semantic bridges

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    Min side: 3
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