What are the ideals of the ring Z[x]/<2, x^3 + 1>?

[Math Amateur]

I would like help to get started on the following problem:

Determine all the ideals of the ring $$ \mathbb{Z}[x]/<2, x^3 + 1> $$

Appreciate some guidance.

Peter

 

[Fernando Revilla]

Have a look at problem 6:

http://livetoad.org/Courses/Documents/84dd/Exams/answers_exam_1.pdf

 

[Math Amateur]

Have a look at problem 6:

http://livetoad.org/Courses/Documents/84dd/Exams/answers_exam_1.pdf

Thanks Fernando, most helpful

Peter