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Algebraic number theory

In mathematics, an algebraic number field (or simply number field) is a finite field extension of the rational numbers Q. That is, it is a field which has finite dimension when considered as a vector space over Q.

The study of algebraic number fields, and these days of infinite algebraic extensions of the rational number field, is the central topic of algebraic number theory.

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List of mathematical topics | List of mathematical topics (A-C) | List of mathematics topics | List of number theory topics

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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Algebraic number theory".