/sci/ - Science & Math

Anonymous Wed May 15 07:56:41 2019 No.10645297 [View]
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>>10644352
See
https://www.google.com/amp/s/drexel28.wordpress.com/2010/10/19/every-vector-space-has-a-basis/amp/
The proof that every vector space has a basis fails for abelian groups because Z is not a field (picrel is the key point). Also there are abelian groups with no nonempty independent sets, like finite groups, but the infinite product Z^N is not among these.

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/sci/ - Science & Math

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