(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let I = <f(x)>, J =<g(x)> be ideals in F[x]. prove that I[tex]\subset[/tex]J [tex]\leftrightarrow[/tex] g(x)|f(x)

2. Relevant equations

3. The attempt at a solution

If I is a subset of J then does that mean that f is in J also and by definition of an ideal g*some b in J must equal something in J so g|f? because g|f means that f=bg for some b in J

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# Homework Help: Ideals with subsets and divides

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