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Primitive ring

In the branch of abstract algebra known as ring theory, a left primitive ring is a ring which has a faithful simple left module. Well known examples include endomorphism rings of vector spaces and Weyl algebras over fields of characteristic zero.

Definition, Properties & Examples

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Overview

Definition

Properties

Examples

Advanced semantic analysis

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Map overview Semantic statistics

Primitive ring

Nodes43
Edges42
Triples28
Avg. degree1.95
Density0.046512
Components1

How this topic connects Entity context

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Primitive ring

Top relations

related to Full linear rings · 12
Primitive ring → By, End, In, It, Jacobson Density, Likewise, Neumann, RFM, RR, Through, Using, When
related to Definition · 10
Primitive ring → An, Another, Bergman, George, Jategaonkar, R-module, R-modules, Rowen, The, There
related to Properties · 5
Primitive ring → Artinian, For, More, One-sided, Since
is a · 1
Primitive ring → ring which has a faithful simple left module

Important terminology Word statistics

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Important terminology

primitive ring left rings simple linear right full faithful known mr ideal prime vector examples module division finite r-module isomorphic

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Primitive ringis aring which has a faithful simple left module0.90text
Primitive ringrelated to DefinitionR-module0.60section
Primitive ringrelated to DefinitionR-modules0.60section
Primitive ringrelated to DefinitionThere0.60section
Primitive ringrelated to DefinitionThe0.60section
Primitive ringrelated to DefinitionGeorge0.60section
Primitive ringrelated to DefinitionBergman0.60section
Primitive ringrelated to DefinitionAnother0.60section
Primitive ringrelated to DefinitionJategaonkar0.60section
Primitive ringrelated to DefinitionRowen0.60section
Primitive ringrelated to DefinitionAn0.60section
Primitive ringrelated to Full linear ringsIn0.60section

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    Min side: 3
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