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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Fall 2023 • Question 1

Question

Math 6310 • Algebra Fall 2023 • Question 1

Let \(k\) be the field with 2 elements. Identify all the maximal ideals in the ring \(R=k[x,y]/(xy,x^2+y+1)\).

Raw LaTeX

Let \(k\) be the field with 2 elements. Identify all the maximal ideals in the ring \(R=k[x,y]/(xy,x^2+y+1)\).

Topic Tags

Ideals and Quotient Rings Prime and Maximal Ideals