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Let g be a group and a, b є g. then the equation x*a=b has a unique solution given by x= b* a |
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Answer» I have a set G and a binary operation on it, let it be ∘. I have that the operation is associative and that the EQUATIONS a∘x=b and x∘a=b have UNIQUE solutions. I have to prove that (G,∘) is a GROUP. |
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