(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Determine whether the commutativity of (V,+) is independent from the remaining vector space axioms.

2. Relevant equations

N/A

3. The attempt at a solution

I am having a really hard time with this problem. Off the top of my head I could not think of any way to prove commutativity using the other axioms. On the other hand, I cannot think of any non-abelian groups (V,+) with a map R x V -> V that satisfies all the desired properties.

If someone could get me pointed in the right direction, it would be appreciated.

Edit: I should clarify that the underlying field is R

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# Homework Help: Independence of Vector Space Axioms

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