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Singular submodule

In the branches of abstract algebra known as ring theory and module theory, each right (resp. left) R-module M has a singular submodule consisting of elements whose annihilators are essential right (resp. left) ideals in R. In set notation it is usually denoted as Z ( M ) = { m ∈ M ∣ a n n ( m ) ⊆ e R } {\displaystyle {\mathcal {Z}}(M)=\{m\in M\mid…

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Singular submodule

Nodes52
Edges51
Triples13
Avg. degree1.96
Density0.038462
Components1

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Singular submodule

Top relations

related to Properties · 10
Singular submodule → Consequently, However, If, Jacobson, M/N, M/t, Morita, R-modules, Some, The
related to Definitions · 3
Singular submodule → Here, In, R-module

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Important terminology

displaystyle right mathcal ring nonsingular singular rings module submodule defined modules left ideal called case ideals commutative r-module mathrm general

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Singular submodulerelated to DefinitionsHere0.60section
Singular submodulerelated to DefinitionsIn0.60section
Singular submodulerelated to DefinitionsR-module0.60section
Singular submodulerelated to PropertiesSome0.60section
Singular submodulerelated to PropertiesIf0.60section
Singular submodulerelated to PropertiesR-modules0.60section
Singular submodulerelated to PropertiesThe0.60section
Singular submodulerelated to PropertiesMorita0.60section
Singular submodulerelated to PropertiesConsequently0.60section
Singular submodulerelated to PropertiesM/t0.60section
Singular submodulerelated to PropertiesHowever0.60section
Singular submodulerelated to PropertiesM/N0.60section

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    Min side: 3
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