Polynomial GCD and PIDs -- Abstract Algebra 23

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If c and d are both gcds of the same things, then they are both common divisors, and both being greatest means c|d and d|c. This means that d=qc and c=pd, and d=qpd, so qp=1 and q and p are units. If you can canonicalize your elements by dividing by a unit, and c and d are canonical, they must be the same.

iabervon
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Hey Michael,

I've been watching your videos for the past two years. You seem to be having a weird cough in the past vids you've made, hope all is well

Spacexioms
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Polynomial GCD is numerically unstable so how symbolic math libraries cope with that

holyshit