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Possible Duplicate:
Is it possible to construct a quasi-vectorial space without an identity element?

I am looking for an example of a set and operations on this set that isn't quite a vector space. As in it meets some of the requirements, but not all of them.

For example it could meet all of the definitions except associativity and therefore not a vector space.

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    See [this post](http://math.stackexchange.com/a/24880/742) for discussion of objects satisfying all except for one of the axioms of a vector space.2012-03-07

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