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Balanced module

In the subfield of abstract algebra known as module theory, a right R module M is called a balanced module (or is said to have the double centralizer property) if every endomorphism of the abelian group M which commutes with all R-endomorphisms of M is given by multiplication by a ring element. Explicitly, for any additive endomorphism f, if fg = gf for…

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Examples and properties

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Balanced module

Nodes23
Edges22
Triples18
Avg. degree1.91
Density0.086957
Components1

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Balanced module

Top relations

related to Examples and properties · 18
Balanced module → Among, Artinian, Being, Conversely, Dlab, Every, Explicitly, Faith, Frobenius, In, It, Morita, Nesbitt, Ringel, Semisimple, The, This, Thrall

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Important terminology

balanced rings ring right modules mr module every doi 1972 double centralizer issn 10 property references thrall dlab ringel morita

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SubjectPredicateObjectConfidenceSrc
Balanced modulerelated to Examples and propertiesSemisimple0.60section
Balanced modulerelated to Examples and propertiesEvery0.60section
Balanced modulerelated to Examples and propertiesFrobenius0.60section
Balanced modulerelated to Examples and propertiesThe0.60section
Balanced modulerelated to Examples and propertiesArtinian0.60section
Balanced modulerelated to Examples and propertiesDlab0.60section
Balanced modulerelated to Examples and propertiesRingel0.60section
Balanced modulerelated to Examples and propertiesIt0.60section
Balanced modulerelated to Examples and propertiesNesbitt0.60section
Balanced modulerelated to Examples and propertiesThrall0.60section
Balanced modulerelated to Examples and propertiesConversely0.60section
Balanced modulerelated to Examples and propertiesAmong0.60section

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