“AbelianNumberField”的概念、定义、习题解题方法及翻译-数学辞典

单词	AbelianNumberField
释义	abelian number field Definition 1. An abelian number field is a number field $K$ such that $K/\\mathbb{Q}$ is an abelian extension, i.e. $K/\\mathbb{Q}$ is Galois and $\\operatorname{Gal}(K/\\mathbb{Q})$ is an abelian group. The abelian number fields are classified by the Kronecker-Weber Theorem. Definition 2. A cyclic number field is an (abelian) number field $K$ such that $K/\\mathbb{Q}$ is a Galois extension and $\\operatorname{Gal}(K/\\mathbb{Q})$ is a finite cyclic group (therefore abelian).
随便看	(partial) linear space PartiallyOrderedAlgebraicSystem partially ordered algebraic system PartiallyOrderedGroup partially ordered group PartiallyOrderedRing partially ordered ring PartialMapping partial mapping PartialOrder partial order PartialOrderingInATopologicalSpace partial ordering in a topological space PartialOrderWithChainConditionDoesNotCollapseCardinals partial order with chain condition does not collapse cardinals partialTiltingModule (partial) tilting module ParticleMovingOnACardioidAtConstantFrequency particle moving on a cardioid at constant frequency ParticleMovingOnTheAstroidAtConstantFrequency particle moving on the astroid at constant frequency Partition partition partition Partition1

数学辞典收录了18232条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。

abelian number field