- the
minor planet 17285
Bezout was
named after him.
Little Bézout's theorem Bézout's theorem Bézout's identity Bézout matrix Bézout domain O'Connor, John...
- mathematics,
Bézout's identity (also
called Bézout's lemma),
named after Étienne
Bézout who
proved it for polynomials, is the
following theorem:
Bézout's identity—Let...
- mathematics, a
Bézout domain is an
integral domain in
which the sum of two prin****l
ideals is also a prin****l ideal. This
means that
Bézout's identity holds...
-
greatest common divisor (gcd) of
integers a and b, also the
coefficients of
Bézout's identity,
which are
integers x and y such that a x + b y = gcd ( a , b...
-
Bézout's theorem is a
statement in
algebraic geometry concerning the
number of
common zeros of n
polynomials in n indeterminates. In its
original form...
- algebra, the
polynomial remainder theorem or
little Bézout's theorem (named
after Étienne
Bézout) is an
application of
Euclidean division of polynomials...
- In mathematics, a
Bézout matrix (or Bézoutian or Bezoutiant) is a
special square matrix ****ociated with two polynomials,
introduced by
James Joseph Sylvester...
- The fact that the GCD can
always be
expressed in this way is
known as
Bézout's identity. The
version of the
Euclidean algorithm described above—which...
- prin****l), a
Bézout domain need not be a
unique factorization domain; for
instance the ring of
entire functions is a non-atomic
Bézout domain, and there...
-
algebraic geometry, the multi-homogeneous
Bézout theorem is a
generalization to multi-homogeneous
polynomials of
Bézout's theorem,
which counts the
number of...
