Bézout's identity
English
Proper noun
Bézout
's
identity
(
mathematics
)
A
theorem
in the elementary theory of numbers: let
a
and
b
be
integers
, not both zero, and let
d
be their
greatest common divisor
. Then there exist integers
x
and
y
such that
ax
+
by
=
d
.
Synonyms
Bézout's lemma