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splitting field
noun
(algebra,
Galois
theory)
(of
a
polynomial)
Given
a
polynomial
p
over
a
field
K,
the
smallest
extension
field
L
of
K
such
that
p,
as
a
polynomial
over
L,
decomposes
into
linear
factors
(polynomials
of
degree
1);
(of
a
set
of
polynomials)
given
a
set
P
of
polynomials
over
K,
the
smallest
extension
field
of
K
over
which
every
polynomial
in
P
decomposes
into
linear
factors.
split bar
noun
split pea
noun
split the baby
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