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Gaussian rational

In mathematics, the field of Gaussian rationals is the field Q(i) formed by adjoining the imaginary number i to the field of rationals. It consists of the complex numbers of the form p+qi, where p and q are both rational, and is an example of a quadratic field.

The field of Gaussian rationals is neither ordered nor complete. The Gaussian integers form the ring of integers of Q(i).

Referenced By

Gauss prime | Gaussian | Gaussian integer | Gaussian prime | Imaginary quadratic field | List of mathematical topics (G-I) | List of mathematical topics (G-Z) | List of number theory topics | Quadratic field

 

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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Gaussian rational".

 

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