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Test: Precalculus
1. | Which of the following is not true about a field. (Note: the real numbers |
A field can be defined in many ways.
There is an element in the field such that
for any element
in the field.
For every element in the field, there is another element
such that their sum
is equal to
, where
is the additive identity.
For every element in the field, there is another element
such that their product
is equal to
, where
is the multiplicative identity,
in the case of real numbers.
We have for any
and
in the field.
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