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AlgebraicUnitQ
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AlgebraicUnitQ
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BUILT-IN MATHEMATICA SYMBOL
Algebraic Number Fields
Tutorials »
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AlgebraicIntegerQ
AlgebraicNumberDenominator
RootOfUnityQ
AlgebraicNumber
MinimalPolynomial
RootReduce
Algebraics
See Also »
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Algebraic Number Theory
More About »
AlgebraicUnitQ
AlgebraicUnitQ
[
a
]
yields
True
if
a
is an algebraic unit, and yields
False
otherwise.
MORE INFORMATION
A number is an algebraic unit if both it and its reciprocal are algebraic integers.
EXAMPLES
CLOSE ALL
Basic Examples
(3)
Test whether
is an algebraic unit:
Test whether
is an algebraic unit:
In[1]:=
Out[1]=
In[1]:=
Out[1]=
In[1]:=
Out[1]=
Scope
(4)
Simple algebraic units:
Radical expressions:
Root
and
AlgebraicNumber
objects:
AlgebraicUnitQ
automatically threads over lists:
Properties & Relations
(3)
An algebraic unit and its reciprocal are algebraic integers:
The reciprocal is an algebraic unit:
An algebraic unit has norm
or
:
An algebraic unit raised to a power is again an algebraic unit:
SEE ALSO
AlgebraicIntegerQ
AlgebraicNumberDenominator
RootOfUnityQ
AlgebraicNumber
MinimalPolynomial
RootReduce
Algebraics
TUTORIALS
Algebraic Number Fields
MORE ABOUT
Algebraic Number Theory
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