The Library of Congress > Linked Data Service > LC Subject Headings (LCSH)

# Bézout's identity

• ### Variants

• Bézout identity
• Bézout's lemma

• ### Closely Matching Concepts from Other Schemes

• Label from public data source Wikidata
• ### Sources

• found: Work cat.: Lawton, W.M. Bézout identities with inequality constraints, 1998.
• found: Wikipedia, July 31, 2007(Bézout's identity or Bézout's lemma is a linear diophantine equation. It states that if a and b are nonzero integers with greatest common divisor d, then there exist integers x and y (called Bézout numbers or Bézout coefficients) such that ax + by = d)
• found: MathWorld, via WWW, July 31, 2007(Bézout's identity -- If a and b are integers not both equal to 0, then there exist integers u and v such that GCD (a, b) = au + bv, where GCD (a, b) is the greatest common divisor of a and b)
• found: Fermat's last theorem : Bezout's identity for Gaussian integers, via WWW, July 31, 2007(Bezout's identity states that the greatest common denominator of any two integers can be expressed as a linear combination with two other integers)
• found: Glossary of mathematical terms, via WWW, July 31, 2007(Euclid's algorithm ... The generalization of the Corollary [for Euclid's algorithm] to an arbitrary field is known as Bézout's identity or Bézout's Lemma ...)
• notfound: James, R.C. Mathematics dictionary, 1992;The Penguin dictionary of mathematics, 1989;Dictionary of applied math for engineers and scientists, 2003;Encyclopedic dictionary of mathematics, 1987
• ### Change Notes

• 2009-10-23: new
• 2009-10-24: revised

# Suggest terminology

The LC Linked Data Service welcomes any suggestions you might have about terminology used for a given heading or concept.

Would you like to suggest a change to this heading?

Please provide your name, email, and your suggestion so that we can begin assessing any terminology changes.

Fields denoted with an asterisk (*) are required.