abelian group

Pronunciation

Noun

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Pronunciation

- (
*America*) IPA: /əˈbi.li.ən ɡɹup/, /əˈbil.jən ɡɹup/

**abelian group** (*plural* abelian groups)

- (
*algebra*) A group in which the group operation is commutative.**1986**,*Partially Ordered Abelian Groups with Interpolation*, American Mathematical Society, 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\rightarrow H that maps positive elements to positive elements, that is, f(G^+)\subseteq H^+.

- Let
**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**.

- Chapter 2 is a brief introduction to some fundamental techniques for countable torsion-free
**2013**, Karl H. Hofmann, Sidney A. Morris,*The Structure of Compact Groups: A Primer for the Student: A Handbook for the Expert*, Walter de Gruyter, page 299 ↗,- By the end of Chapter 2 we had the full power of the Pontryagin Duality Theorem for compact
**abelian groups**and for discrete**abelian groups**. Locally compact**abelian groups**are much closer to compact**abelian groups**than is apparent at first sight.

- By the end of Chapter 2 we had the full power of the Pontryagin Duality Theorem for compact

- commutative group

- French: groupe abélien, groupe commutatif
- German: abelsche Gruppe, kommutative Gruppe
- Italian: gruppo abeliano
- Portuguese: grupo abeliano
- Russian: а́белева гру́ппа
- Spanish: grupo abeliano

**Abelian group**Noun

**abelian group** (*plural* abelian groups)

*Alternative form of*abelian group

This text is extracted from the Wiktionary and it is available under the CC BY-SA 3.0 license | Terms and conditions | Privacy policy 0.006