Prove that the radical of the ideal generated by two elements is equal to the radical of the ideal generated by powers of these elements

JetBrains / arend-lib

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Prove that the radical of the ideal generated by two elements is equal to the radical of the ideal generated by powers of these elements #41

Closed valis closed 2 years ago

valis commented 2 years ago

This is AG.Scheme/pow-lin-comb. Explicitly, this just means that if e^k = a*c + b*d, then there are t, s, and l such that e^l = t*a^n + s*b^m.

TurtlePU commented 2 years ago

I'll take it; I am not going to provide a generalization for now, though.