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Jose Brox
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Following the commentary by Amri, I think that his idea can be explained in terms of graduations: The natural graduation of $F[X]$ over $F$, generated by the degree, allows us to compute simultaneously a lot of $F$-sums without mixing information. Maybe the rest of facts can be also described by graduation properties? (I'm not taking into account trivial graduations overfor $Z$).

Following the commentary by Amri, I think that his idea can be explained in terms of graduations: The natural graduation of $F[X]$ over $F$, generated by the degree, allows us to compute simultaneously a lot of $F$-sums without mixing information. Maybe the rest of facts can be also described by graduation properties? (I'm not taking into account trivial graduations over $Z$).

Following the commentary by Amri, I think that his idea can be explained in terms of graduations: The natural graduation of $F[X]$ over $F$, generated by the degree, allows us to compute simultaneously a lot of $F$-sums without mixing information. Maybe the rest of facts can be also described by graduation properties? (I'm not taking into account trivial graduations for $Z$).

Source Link
Jose Brox
  • 3k
  • 5
  • 38
  • 51

Following the commentary by Amri, I think that his idea can be explained in terms of graduations: The natural graduation of $F[X]$ over $F$, generated by the degree, allows us to compute simultaneously a lot of $F$-sums without mixing information. Maybe the rest of facts can be also described by graduation properties? (I'm not taking into account trivial graduations over $Z$).