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I wonder, is it possible for the natural numbers (with zero) t be a vector space on SOME field? I understand why it cannot be over real numbers because of muliplication with negative scalar. BUT what about modulo3 field that have only positive numbers or OTHER field. thanks

amWhy
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sharonb
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1 Answers1

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Hint:

For one thing, you need additive inverses for vectors.

paw88789
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