I have in my notes that (2X,5) is an ideal of Z[X], but I can't see why this can be so.(adsbygoogle = window.adsbygoogle || []).push({});

For example 5+2X is in (2X,5) and 7+X is in Z[X] but then

(5+2X)(7+X) =

= 35+5X+14X+2X^2

= 2X^2+19X+35.

19 is not divisible by 2 and so this element is not in (2X,5), contradicting the "absorbance" property of ideals.

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# Simple ring/ideal query

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