Prove that ? is a valuation of q whose value group is g

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Question: Let G be an ordered abelian group and let K[{xi|i ∈ G}] be a polynomial ring over a field K with quotient field Q. Define ν : Q → G∪{∞} as follows

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Prove that ν is a valuation of Q whose value group is G.

Reference no: EM131586699

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