abelian group

Etymology
Named in honour of (1802–1829), a Norwegian mathematician.

Noun

 * 1)  A group in which the group operation is commutative.
 * 2) * 1986, Partially Ordered Abelian Groups with Interpolation,, 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, $$f(G^+)\subseteq H^+$$.
 * 1) * 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.

Translations

 * Chinese:
 * Mandarin:
 * Czech: abelovská grupa
 * Dutch: Abelse groep, Abelse ring
 * Esperanto: abela grupo, komuta grupo
 * Estonian:
 * Finnish: Abelin ryhmä
 * French: ,
 * German: abelsche Gruppe, kommutative Gruppe
 * Greek:
 * Hungarian:
 * Icelandic: Abel-grúpa, víxlgrúpa, abelsk grúpa, víxlin grúpa
 * Italian: gruppo abeliano
 * Japanese: アーベル群
 * Norwegian:
 * Bokmål: abelsk gruppe
 * Polish: grupa przemienna,
 * Portuguese: grupo abeliano
 * Romanian: grup abelian, grup comutativ
 * Russian:
 * Serbo-Croatian: Abelova grupa
 * Spanish: grupo abeliano
 * Swedish: abelsk grupp, kommutativ grupp
 * Telugu: ఎబిలియన్ సమూహం


 * Chinese:
 * Mandarin: