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Quotient ring

In ring theory, a branch of abstract algebra, a quotient ring, also known as factor ring, difference ring or residue class ring, is a construction quite similar to the quotient group in group theory and to the quotient space in linear algebra. It is a specific example of a quotient, as viewed from the general setting of universal algebra. Starting with a…

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Overview

Formal quotient ring construction

Examples

Properties

For algebras over a ring

Further references

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Map overview Semantic statistics

Quotient ring

Nodes86
Edges85
Triples25
Avg. degree1.98
Density0.023256
Components1

How this topic connects Entity context

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Quotient ring

Top relations

related to Examples · 18
Quotient ring → As, Consider, Generalizing, If, In, Intuitively, It, Modular, Now, One, R/I, R/R, Since, Suppose, The, Then, This, To
related to External links · 7
Quotient ring → EMS Press, Encyclopedia, Ideals, John Beachy's Abstract Algebra, Mathematics, Online, Quotient

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Important terminology

displaystyle quotient ring mathbb ideal field algebra rings real isomorphic numbers elements left right one ideals two-sided also modulo element

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Quotient ringrelated to ExamplesThe0.60section
Quotient ringrelated to ExamplesR/R0.60section
Quotient ringrelated to ExamplesThis0.60section
Quotient ringrelated to ExamplesIf0.60section
Quotient ringrelated to ExamplesR/I0.60section
Quotient ringrelated to ExamplesConsider0.60section
Quotient ringrelated to ExamplesThen0.60section
Quotient ringrelated to ExamplesIt0.60section
Quotient ringrelated to ExamplesIntuitively0.60section
Quotient ringrelated to ExamplesModular0.60section
Quotient ringrelated to ExamplesNow0.60section
Quotient ringrelated to ExamplesSince0.60section

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    Min side: 3
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