>Then you're wrong. This waffle is next to useless. What is the precise >definition? If the precise definition has words like "abelian group" in >it, then what is the precise meaning of them?
I never learned a definition of "vector space" that had "abelian group" in it. The only time we spoke of abelian groups was in algebraic structures. If I remember correctly, an abelian group is a group that has an invertible table.
>Read David C Ullrich's reply to your op, it's good advice.
>Also, what book do you read? If it doesn't have good hard exercises in >it, then read another.
I'm not sure what it's called, but all the exercises are hard. It's the lack of solutions and explanations that bothers me.