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 In mathematics, a ray class field is an abelian extension of a global field associated with a ray class group of ideal classes or idele classes. Every finite abelian extension of a number field is contained in one of its ray class fields. The term "ray class group" is a translation of the German term "Strahlklassengruppe". Here "Strahl" is the German for a ray, and often means the positive real line, which appears in the positivity conditions defining ray class groups. , p.6) uses "Strahl" to mean a certain group of ideals defined using positivity conditions, and uses "Strahlklasse" to mean a coset of this group. There are two slightly different notions of what a ray class field is, as authors differ in how the infinite primes are treated. (en)
 유체론에서 반직선 유군(半直線類群, 영어: ray class group)은 임의의 모듈러스에 대한, 아이디얼 유군의 일반화이다. 대수적 수체의 아벨 확대에서의 분기화 현상을 나타낸다. (ko)

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 유체론에서 반직선 유군(半直線類群, 영어: ray class group)은 임의의 모듈러스에 대한, 아이디얼 유군의 일반화이다. 대수적 수체의 아벨 확대에서의 분기화 현상을 나타낸다. (ko)
 In mathematics, a ray class field is an abelian extension of a global field associated with a ray class group of ideal classes or idele classes. Every finite abelian extension of a number field is contained in one of its ray class fields. There are two slightly different notions of what a ray class field is, as authors differ in how the infinite primes are treated. (en)

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 반직선 유군 (ko)
 Ray class field (en)

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