torsion-free abelian group
group in which the group operation is commutative and the identity element is the only element with finite order
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torsion-free abelian group
Summary
Key Facts
- torsion-free abelian group's subclass of is recorded as abelian group[1].
- torsion-free abelian group's subclass of is recorded as torsion-free module[2].
- torsion-free abelian group's opposite of is recorded as torsion abelian group[3].
- torsion-free abelian group's Freebase ID is recorded as /m/0n_5ygc[4].
- torsion-free abelian group's defining formula is recorded as \forall g\in G\colon(\exists n\in\mathbb Z^+\colon ng=0)\implies g=0[5].
- torsion-free abelian group's maintained by WikiProject is recorded as WikiProject Mathematics[6].
- torsion-free abelian group's Microsoft Academic ID is recorded as 2779105405[7].
- torsion-free abelian group's in defining formula is recorded as G[8].
- torsion-free abelian group's in defining formula is recorded as 0[9].
- torsion-free abelian group's in defining formula is recorded as \mathbb Z^+[10].