Usually means: Finite extension of rational numbers.
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We found 5 dictionaries that define the word algebraic number field:

General (2 matching dictionaries)
  1. algebraic number field: Wiktionary
  2. Algebraic number field: Wikipedia, the Free Encyclopedia

Computing (1 matching dictionary)
  1. algebraic number field: Encyclopedia

Science (2 matching dictionaries)
  1. Algebraic Number Field: Eric Weisstein's World of Mathematics
  2. algebraic number field: PlanetMath Encyclopedia

Definitions from Wiktionary (algebraic number field)

noun:  (mathematics, algebraic number theory) A field which includes the rational numbers and has finite dimension as a vector space over the rational numbers.

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