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Algebra Level 3

In the following sets, which set can be considered as the subfield of the set of Complex numbers $\mathbb C$ ?

Set of Natural numbers Set of Positive integers Set of Rational numbers

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Tom Engelsman
Feb 15, 2017

In the number system, the hierarchy we desire is $\mathbb{N} \subseteq \mathbb{Z^{+}} \subset \mathbb{Z} \subset \mathbb{Q} \subset \mathbb{R} \subset \mathbb{C}$ . The rational numbers encompass all natural numbers and integers, thus it's at a higher level within the complex numbers.

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