- 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...
- 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...
-
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...
- In mathematics, a
Bézout domain is a form of a Prüfer domain. It is an
integral domain in
which the sum of two prin****l
ideals is
again a prin****l ideal...
- In mathematics, a
Bézout matrix (or Bézoutian or Bezoutiant) is a
special square matrix ****ociated with two polynomials,
introduced by
James Joseph Sylvester (1853)...
- algebra, the
polynomial remainder theorem or
little Bézout's theorem (named
after Étienne
Bézout) is an
application of
Euclidean division of polynomials...
- then R is
called a
right Bézout ring. Left
Bézout rings are
defined similarly.
These conditions are
studied in
domains as
Bézout domains. A prin****l ideal...
-
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...
- 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...
- 1796) was a
French mathematician, musician, and
chemist who
worked with
Bézout and Lavoisier; his name is now prin****lly ****ociated with
determinant theory...
