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Local ring

In mathematics, more specifically in ring theory, local rings are certain rings that are comparatively simple, and serve to describe what is called "local behaviour", in the sense of functions defined on algebraic varieties or manifolds, or of algebraic number fields examined at a particular place, or prime. Local algebra is the branch of commutative…

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Overview

Definition and first consequences

Examples

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Map overview Semantic statistics

Local ring

Nodes86
Edges85
Triples40
Avg. degree1.98
Density0.023256
Components1

How this topic connects Entity context

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Local ring

Top relations

related to Commutative case · 13
Local ring → Artin, Every, Hausdorff, If, Indeed, Krull's, Nakayama's, Noetherian, Rees, The, Then, This, We
related to Examples · 11
Local ring → All, An, If, In, It, Its, More, Nonzero, Similarly, The, Xn
related to Valuation theory · 7
Local ring → Any, By, For, Given, If, In, Local
related to General case · 3
Local ring → For, However, The Jacobson
related to Non-commutative · 3
Local ring → If, Non-commutative, Specifically
related to Definition and first consequences · 1
Local ring → If
related to External links · 1
Local ring → The
see also · 1
Local ring → Discrete

Important terminology Word statistics

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Important terminology

ring local ideal maximal displaystyle rings field commutative germs functions unique mathbb consists prime invertible valuation one left called algebra

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Local ringrelated to Commutative caseWe0.60section
Local ringrelated to Commutative caseEvery0.60section
Local ringrelated to Commutative caseThis0.60section
Local ringrelated to Commutative caseIf0.60section
Local ringrelated to Commutative caseNoetherian0.60section
Local ringrelated to Commutative caseKrull's0.60section
Local ringrelated to Commutative caseHausdorff0.60section
Local ringrelated to Commutative caseThe0.60section
Local ringrelated to Commutative caseArtin0.60section
Local ringrelated to Commutative caseRees0.60section
Local ringrelated to Commutative caseNakayama's0.60section
Local ringrelated to Commutative caseIndeed0.60section

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    Min side: 3
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