= Ring class field
{wiki=Ring_class_field}
In algebraic number theory, a **ring class field** is an important concept related to algebraic number fields and their class groups. To understand ring class fields, we first need to introduce a few key concepts: 1. **Algebraic Number Field:** An algebraic number field is a finite field extension of the rational numbers \\(\\mathbb\{Q\}\\). It can be represented as \\(\\mathbb\{Q\}(\\alpha)\\) for some algebraic integer \\(\\alpha\\).
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