Given [tex]K[/tex] a field, and [tex] f\in K[x][/tex] an irreducible (monic) polynomial. Does it follow that the field [tex] K[x]/\left<f\right>[/tex] is an algebraic extension of [tex]K[/tex]?(adsbygoogle = window.adsbygoogle || []).push({});

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# Do Irreducibles Induce Algebraic Extensions?

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