- #1

jgens

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## Homework Statement

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

## Homework Equations

N/A

## 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