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Bézout's identity

In mathematics, Bézout's identity (also called Bézout's lemma), named after Étienne Bézout who proved it for polynomials, is a theorem which relates two arbitrary integers with their greatest common divisor. The theorem's statement is as follows:

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Overview

Structure of solutions

Existence proof

Corollaries

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History and attribution

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Bézout's identity

Nodes38
Edges37
Triples31
Avg. degree1.95
Density0.052632
Components1

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Bézout's identity

Top relations

related to For principal ideal domains · 10
Bézout's identity → An, As, Bézout, Bézout's, PID, Ra, Rb, Rd, That, The
see also · 7
Bézout's identity → About, AF, BG, Bézout's, Integers, On, Polynomial
related to For polynomials · 5
Bézout's identity → Bézout's, Euclidean, For, However, In
related to External links · 4
Bézout's identity → Bézout's, Eric, MathWorld, Online
related to Writing any integer as a linear combination · 4
Bézout's identity → An, Bézout's, Indeed, Multiplying
related to For three or more integers · 1
Bézout's identity → Bézout's

Important terminology Word statistics

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Important terminology

integers bézout's identity bézout divisor coefficients displaystyle common greatest two one minimal polynomials pairs theorem ideal ax integer principal euclidean

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Bézout's identityrelated to External linksOnline0.60section
Bézout's identityrelated to External linksBézout's0.60section
Bézout's identityrelated to External linksEric0.60section
Bézout's identityrelated to External linksMathWorld0.60section
Bézout's identityrelated to For polynomialsBézout's0.60section
Bézout's identityrelated to For polynomialsFor0.60section
Bézout's identityrelated to For polynomialsHowever0.60section
Bézout's identityrelated to For polynomialsIn0.60section
Bézout's identityrelated to For polynomialsEuclidean0.60section
Bézout's identityrelated to For principal ideal domainsAs0.60section
Bézout's identityrelated to For principal ideal domainsBézout's0.60section
Bézout's identityrelated to For principal ideal domainsPID0.60section

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