MHB Polynomial Proof: Verification & Correction

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    Polynomial Proof
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The attached polynomial proof is generally considered correct by participants in the discussion. However, it is suggested to enhance clarity by adding a concluding statement that indicates f(x+c) is reducible, leading to a contradiction. This addition would strengthen the overall argument of the proof. Participants are encouraged to make this adjustment for improved accuracy. Overall, the proof is on the right track with minor recommendations for enhancement.
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I would like to have verification if the following attached proof is correct. If it is not correct, what can be done to make it correct? Thanks.
 

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Alexis87 said:
I would like to have verification if the following attached proof is correct. If it is not correct, what can be done to make it correct? Thanks.

Hi Alexis87,

It looks all correct to me.
For clarity I would just add a final sentence saying that therefore f(x+c) is reducible, which is a contradiction.
 
I am studying the mathematical formalism behind non-commutative geometry approach to quantum gravity. I was reading about Hopf algebras and their Drinfeld twist with a specific example of the Moyal-Weyl twist defined as F=exp(-iλ/2θ^(μν)∂_μ⊗∂_ν) where λ is a constant parametar and θ antisymmetric constant tensor. {∂_μ} is the basis of the tangent vector space over the underlying spacetime Now, from my understanding the enveloping algebra which appears in the definition of the Hopf algebra...

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