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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Spring 2021 • Question 4

Question

Math 6310 • Algebra Spring 2021 • Question 4

State the Noether normalization lemma. Let \(M\) be a maximal ideal of the ring \(A=\mathbb {R}[x,y,z]/(x^2+y^2+z^2+1)\). Determine the field \(A/M\).

Raw LaTeX

State the Noether normalization lemma.
Let \(M\) be a maximal ideal of the ring \(A=\mathbb{R}[x,y,z]/(x^2+y^2+z^2+1)\). Determine the field \(A/M\).

Topic Tags

Ideals and Quotient Rings Noether Normalization Prime and Maximal Ideals