Es sei R = Z [ X ] / ( X 4 + X 3 + X 2 + X + 1 ) {\displaystyle {}R=\mathbb {Z} [X]/(X^{4}+X^{3}+X^{2}+X+1)} . Bestimme die Primideale in R {\displaystyle {}R} , die über den Primzahlen p = 2 , 3 , 5 , 7 {\displaystyle {}p=2,3,5,7} liegen.
![{\displaystyle {}R=\mathbb {Z} [X]/(X^{4}+X^{3}+X^{2}+X+1)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/e2a1faa25f22e7b3709ea59e12f3427d8adc78f6)
