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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Fall 2008 • Question 7

Question

Math 6310 • Algebra Fall 2008 • Question 7

Is every ideal of the ring \(\mathbb {Z}\times \mathbb {Z}\) a principal ideal? Prove or disprove.

Raw LaTeX

Is every ideal of the ring \(\mathbb{Z}\times\mathbb{Z}\) a principal ideal? Prove or disprove.

Topic Tags

Ideals and Quotient Rings Polynomial Rings and Prime Ideals