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

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The discussion focuses on determining the ideals of the ring Z[x]/<2, x^3 + 1>. Participants suggest reviewing related problems for guidance, specifically referencing problem 6 from an exam document. The exchange highlights the need for foundational understanding in ring theory to tackle the problem effectively. Acknowledgment of helpful resources indicates a collaborative effort to solve the issue. The conversation emphasizes the importance of exploring existing materials to gain insights into the problem at hand.
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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
 
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Have a look at problem 6:

http://livetoad.org/Courses/Documents/84dd/Exams/answers_exam_1.pdf
 
Fernando Revilla said:
Have a look at problem 6:

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

Thanks Fernando, most helpful

Peter
 
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