Group Theory 90, Euclidean Domain, every ED is a PID

Group Theory 90, Euclidean Domain, every ED is a PID

[Preeti-czwx]

Thank you very much sir, this video is very helpful.

[alvinlepik]

d(r) < d(a) is impossible because a is chosen such that d(a) is minimum, therefore r= 0 must be true and it follows that b is generated by a. Good video, the proof is correct, but you jump over Why you choose d(a) to be minimum.

[msakhawat]

Solution of Z[-5] so f(a+sqrt (-5)b)=a2+5b2??

[IlmGhar]

let r be euclidean domain then show that ur={x∈r* | nx=n(1)}, where n is norm on r. can U help me in this..now