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Double centralizer theorem

In the branch of abstract algebra called ring theory, the double centralizer theorem can refer to any one of several similar results. These results concern the centralizer of a subring S of a ring R, denoted CR(S) in this article. It is always the case that CR(CR(S)) contains S, and a double centralizer theorem gives conditions on R and S that guarantee…

Art, Statements of the theorem & Double centralizer property

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Statements of the theorem

KernelAnnihilatorIsomorphism theoremFaithful moduleCentral simple algebras
20 related topics

Double centralizer property

Balanced module
1 related topics

Overview

Abstract algebraRing theoryCentralizer of a subring
3 related topics

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Statements of the theorem

Double centralizer property

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Double centralizer theorem

Nodes28
Edges27
Triples40
Avg. degree1.93
Density0.071429
Components1

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Double centralizer theorem

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related to References · 32
Double centralizer theorem → Academic Press Inc, Advanced, Algebra, American Mathematical Society, Anthony, Applied Mathematics, Associative Algebras, Birkhäuser Boston Inc, Boston, Cornerstones, Graduate Studies, Graduate Texts, Harcourt Brace Jovanovich Publishers, Isaacs, ISBN, Lock-gray-alt-2, Lock-green, Lock-red-alt-2, Louis Halle, MA
related to Double centralizer property · 5
Double centralizer theorem → Artinian, CE, End, In, RM
related to Motivation · 3
Double centralizer theorem → Clearly CR, CR, The

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Important terminology

ring theorem centralizer simple mr rings double algebra module rm version artinian given end subring cr central polynomial right one

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SubjectPredicateObjectConfidenceSrc
Double centralizer theoremrelated to Double centralizer propertyCE0.60section
Double centralizer theoremrelated to Double centralizer propertyRM0.60section
Double centralizer theoremrelated to Double centralizer propertyEnd0.60section
Double centralizer theoremrelated to Double centralizer propertyIn0.60section
Double centralizer theoremrelated to Double centralizer propertyArtinian0.60section
Double centralizer theoremrelated to MotivationThe0.60section
Double centralizer theoremrelated to MotivationClearly CR0.60section
Double centralizer theoremrelated to MotivationCR0.60section
Double centralizer theoremrelated to ReferencesLock-green0.60section
Double centralizer theoremrelated to ReferencesLock-gray-alt-20.60section
Double centralizer theoremrelated to ReferencesLock-red-alt-20.60section
Double centralizer theoremrelated to ReferencesWikisource-logo0.60section

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