3 Irreducibility

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When you define irreducible, X=X_1 doesn't necessarily imply that X_2 is the null set, it could be a point on X_1

columbusmyhw
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I am wondering why fg(P)=0 ==> f(P)=0 or g(P)=0 ? Evidently we're working in an integral domain, but at the moment I don't see why this need be the case?

lelandreardon
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At 13:52 why does X_m containing X_i imply X_m= X_i?

justanotherman