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A totally real number field is a type of number field, which is defined as a finite extension of the field of rational numbers \( \mathbb{Q} \). Specifically, a number field \( K \) is called totally real if every embedding of \( K \) into the complex numbers \( \mathbb{C} \) maps \( K \) into the real numbers \( \mathbb{R} \).

Ancestors (6)

  1. Field (mathematics)
  2. Abstract algebra
  3. Algebra
  4. Fields of mathematics
  5. Mathematics
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