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Essential extension

In mathematics, specifically module theory, given a ring R {\displaystyle R} and an R {\displaystyle R} -module M {\displaystyle M} with a submodule N {\displaystyle N} , the module M {\displaystyle M} is said to be an essential extension of N {\displaystyle N} (or N {\displaystyle N} is said to be an essential submodule or large submodule of M…

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Essential extension

Nodes24
Edges23
Triples48
Avg. degree1.92
Density0.083333
Components1

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Essential extension

Top relations

related to References · 38
Essential extension → Academic Press, Algebraic Geometry ISBN, Anderson, Barry, Berlin, Cahiers, Canadian Mathematical Bulletin, Categories, Characterization, CMB-1981-037-1Lam, Commutative, Eisenbud, Essential, Fuller, Graduate Texts, Géométrie Différentielle Catégoriques, Hans-E, ISBN, Lectures, Lock-gray-alt-2
related to Generalization · 6
Essential extension → An, In, Introduction, Porst, Taking, This
related to Properties · 3
Essential extension → Clearly, Here, Let
is a · 1
Essential extension → monomorphism u

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Important terminology

essential displaystyle module submodule injective extension superfluous hull every submodules ideal mathematics monomorphism 1981 subseteq special right extensions left usual

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Essential extensionis amonomorphism u0.90text
Essential extensionrelated to GeneralizationThis0.60section
Essential extensionrelated to GeneralizationAn0.60section
Essential extensionrelated to GeneralizationIn0.60section
Essential extensionrelated to GeneralizationPorst0.60section
Essential extensionrelated to GeneralizationIntroduction0.60section
Essential extensionrelated to GeneralizationTaking0.60section
Essential extensionrelated to PropertiesHere0.60section
Essential extensionrelated to PropertiesLet0.60section
Essential extensionrelated to PropertiesClearly0.60section
Essential extensionrelated to ReferencesLock-green0.60section
Essential extensionrelated to ReferencesLock-gray-alt-20.60section

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    Min side: 3
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