How to determine all the ideals of the ring $\mathbb{Z}[X]/(2,X^3+1)$?
Set of Ideals of a Polynomial Ring
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$\begingroup$
ring-theory
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0Where are you stuck? – 2011-01-27
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0This is exercise 7 in section 9.2 of Dummit and Foote. Is it your homework? – 2011-01-27
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0@Moron: I am trying the find the linear combination of 2 and x^3+1. Because there is a one-to-one correspondence between every ideal of Z[X]/(2,X^3+1) and every ideal of Z[x] containing the ideal (2,x^3+1). – 2011-01-27