单词 abelian group 释义 BETA

Examples ofabelian group

Dictionary> Examples ofabelian groupabelian groupisn’t in the Cambridge Dictionary yet. You can help!Add a definitionFor example, every finitely generatedabeliangroupis amenable.From theCambridge English CorpusSince the action is rotation on a compactabeliangroupit has discrete spectrum and entropy zero.From theCambridge English CorpusThe final step is to reduce to anabeliangroupextension.From theCambridge English CorpusIt is a discreteabeliangroupwith a left -action by multiplication.From theCambridge English CorpusAnabeliangroup(or any commutative monoid) with being the identity morphism.From theCambridge English CorpusA special case is that of anabeliangroupwhere any probability measure is a class function.From theCambridge English CorpusThis is anabeliangroupfor all "k".FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.This is achieved by putting an alternativeabeliangroupstructure on the normal invariants as described here.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.Consider theabeliangroup(that is, the set with addition modulo 4), and its subgroup.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.Somewhat akin to the dimension of vector spaces, everyabeliangrouphas a "rank".FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.The number of independent generators is the rank of anabeliangroup.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.Briefly, a ring is anabeliangroupwith a second binary operation that is distributive over theabeliangroupoperation and is associative.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.Next, one notes that the set of endomorphisms of anabeliangroupis an endomorphism ring.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.

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