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Semisimple module

In mathematics, especially in the area of abstract algebra known as module theory, a semisimple module or completely reducible module is a type of module that can be understood easily from its parts. A ring that is a semisimple module over itself is known as an Artinian semisimple ring. Some important rings, such as group rings of finite groups over…

Art, Semisimple rings & Definition

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Definition

Properties

Endomorphism rings

Semisimple rings

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Semisimple module

Nodes58
Edges57
Triples6
Avg. degree1.97
Density0.034483
Components1

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Semisimple module

Top relations

related to Properties · 3
Semisimple module → Artinian, If, The
related to Endomorphism rings · 2
Semisimple module → Neumann, The
is a · 1
Semisimple module → module over a field

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Important terminology

semisimple ring module artinian rings simple direct left field algebra zero finite understood also radical sum theory group known jacobson

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Semisimple moduleis amodule over a field0.90text
Semisimple modulerelated to Endomorphism ringsThe0.60section
Semisimple modulerelated to Endomorphism ringsNeumann0.60section
Semisimple modulerelated to PropertiesIf0.60section
Semisimple modulerelated to PropertiesThe0.60section
Semisimple modulerelated to PropertiesArtinian0.60section

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    Min side: 3
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