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词汇 abelian-group
释义 BETA

abelian group

collocation in English

meanings of group


These words are often used together. Click on the links below to explore the meanings.
group
noun
uk /ɡruːp/ us /ɡruːp/
a number of people or things that are put together or considered as ...
See more at group


Examples of abelian group


abelian group
For example, every finitely generated abeliangroup is amenable.
Since the action is rotation on a compact abeliangroup it has discrete spectrum and entropy zero.
The final step is to reduce to an abeliangroup extension.
It is a discrete abeliangroup with a left -action by multiplication.
An abeliangroup (or any commutative monoid) with being the identity morphism.
A special case is that of an abeliangroup where any probability measure is a class function.
This is an abeliangroup for all "k".
From
Wikipedia

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This is achieved by putting an alternative abeliangroup structure on the normal invariants as described here.
From
Wikipedia

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Consider the abeliangroup (that is, the set with addition modulo 4), and its subgroup.
From
Wikipedia

This example is from Wikipedia and may be reused under a CC BY-SA license.
Somewhat akin to the dimension of vector spaces, every abeliangroup has a "rank".
From
Wikipedia

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The number of independent generators is the rank of an abeliangroup.
From
Wikipedia

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Briefly, a ring is an abeliangroup with a second binary operation that is distributive over the abeliangroup operation and is associative.
From
Wikipedia

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Next, one notes that the set of endomorphisms of an abeliangroup is an endomorphism ring.
From
Wikipedia

This example is from Wikipedia and may be reused under a CC BY-SA license.
These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
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