Abstract

We have seen in the numerical examples of the preceding chapter that the ring of algebraic integers of a quadratic number field, and also of the cyclotomic field ℚ(ζ) (where ζ is a primitive pth root of unity), are free finitely generated Abelian groups.KeywordsMaximal ElementNoetherian RingFree Abelian GroupAlgebraic IntegerQuadratic FieldThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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