最終更新日：2024/08/02

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(algebraic number theory) A number field that is an extension field of degree two over the rational numbers.

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quadratic field

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quadratic field

noun

(algebraic number theory) A number field that is an extension field of degree two over the rational numbers.

The quadratic field is a fundamental concept in algebraic number theory.

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(algebraic number theory) A number field that is an extension field of degree two over the rational numbers.

In a quadratic field mathbf Q(√), D a squarefree integer, with class number 1 any algebraic integer can be decomposed uniquely into primes but for only 21 domains Euclidean algorithms are known.

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quadratic field

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