Viewing topic: Free Abelian Group

See sub-topics for Free Abelian Group ... >> Mathematics >> Algebraic Topology >> Free Abelian Group

Highest Rated Sign

No video has been submitted for this term

Nobody has posted a sign yet.

Free Abelian Group

  • Definition: Let G be an abelian group and let (x_a) be an indexed family of elements of G, let G_a be the subgroup of G generated by x_a. If the groups G_a generate G, we also say that the elements x_a generate G. If each group G_a is infinite cyclic, and if G is the direct sum of the groups G_x, then G is said to be a free abelian group having the elements {x_a} as a basis.

    Source: Topology (second edition) by James R. Munkres

  • Listed under: Algebraic Topology, Abstract Algebra

  • There are no comments for this topic.