Abelian group

English

Alternative forms

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Etymology

Named in honour of Template:W (1802–1829), a Norwegian mathematician.

Pronunciation

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Noun

1. Template:Lb A group in which the group operation is commutative.

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   • 1986, Partially Ordered Abelian Groups with Interpolation, Template:W, 2010 softcover reprint, page 12,

     Let G and H be partially ordered abelian groups. A positive homomorphism from G to H is any abelian group homomorphism $f:G\to H$ that maps positive elements to positive elements, that is, $f(G^{+})\subseteq H^{+}$.

   • 2000, David Arnold, Abelian Groups and Representations of Finite Partially Ordered Sets, Springer, Softcover reprint of 1st edition, page 74,

     Chapter 2 is a brief introduction to some fundamental techniques for countable torsion-free abelian groups.

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Hypernyms

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Hyponyms

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Derived terms

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Translations

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Further reading

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