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Ore extension

In mathematics, especially in the area of algebra known as ring theory, an Ore extension, named after Øystein Ore, is a special type of a ring extension whose properties are relatively well understood. Elements of a Ore extension are called Ore polynomials.

Definition, Examples & Properties

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Overview

Definition

Examples

Properties

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Ore extension

Top relations

related to Further reading · 43
Ore extension → Academic Press, Algebra, American Mathematical Society, An Introduction, Applied Mathematics, Arch, Boston, Cambridge, Cambridge University Press, Comm, Extensions, French, Goodearl, Graduate Studies, II, ISBN, Jacobson, Jr, Lock-gray-alt-2, Lock-green
related to Properties · 4
Ore extension → An Ore, If, Noetherian, Ore
related to Definition · 3
Ore extension → Ore, Suppose, Then
related to Examples · 3
Ore extension → Gröbner, Ore, The Weyl

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Important terminology

ore ring extension extensions called polynomial mathematics noncommutative vol theory skew rings algebras isbn mr properties elements algebra identity noetherian

Entity relationships Subject–Predicate–Object triples

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SubjectPredicateObjectConfidenceSrc
Ore extensionrelated to DefinitionSuppose0.60section
Ore extensionrelated to DefinitionThen0.60section
Ore extensionrelated to DefinitionOre0.60section
Ore extensionrelated to ExamplesThe Weyl0.60section
Ore extensionrelated to ExamplesOre0.60section
Ore extensionrelated to ExamplesGröbner0.60section
Ore extensionrelated to Further readingLock-green0.60section
Ore extensionrelated to Further readingLock-gray-alt-20.60section
Ore extensionrelated to Further readingLock-red-alt-20.60section
Ore extensionrelated to Further readingWikisource-logo0.60section
Ore extensionrelated to Further readingGoodearl0.60section
Ore extensionrelated to Further readingWarfield0.60section

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    Ore extension

    Nodes34
    Edges33
    Triples53
    Avg. degree1.94
    Density0.058824
    Components1
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