最終更新日：2024/07/28
(algebra, number theory) A real or complex number (more generally, an element of a number field) which is a root of a monic polynomial whose coefficients are integers; equivalently, an algebraic number whose minimal polynomial (lowest-degree polynomial of which it is a root and whose leading coefficient is 1) has integer coefficients.
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algebraic integer
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元となった辞書の項目
algebraic integer
noun
(algebra,
number
theory)
A
real
or
complex
number
(more
generally,
an
element
of
a
number
field)
which
is
a
root
of
a
monic
polynomial
whose
coefficients
are
integers;
equivalently,
an
algebraic
number
whose
minimal
polynomial
(lowest-degree
polynomial
of
which
it
is
a
root
and
whose
leading
coefficient
is
1)
has
integer
coefficients.
意味（1）
(algebra,
number
theory)
A
real
or
complex
number
(more
generally,
an
element
of
a
number
field)
which
is
a
root
of
a
monic
polynomial
whose
coefficients
are
integers;
equivalently,
an
algebraic
number
whose
minimal
polynomial
(lowest-degree
polynomial
of
which
it
is
a
root
and
whose
leading
coefficient
is
1)
has
integer
coefficients.
