Skip to content

Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Spring 2015 • Question 7

Question

Math 6310 • Algebra Spring 2015 • Question 7

Consider the polynomial ring \(\mathbb {Q}[x,y]\) where \(x,y\) are indeterminates over \(\mathbb {Q}\). Determine a finite generating set for the ideal of polynomials \(f(x,y)\) with \(f(i,i)=0\).

Raw LaTeX

Consider the polynomial ring \(\mathbb{Q}[x,y]\) where \(x,y\) are indeterminates over
\(\mathbb{Q}\). Determine a finite generating set for the ideal of polynomials \(f(x,y)\) with
\(f(i,i)=0\).

Topic Tags

Galois Groups of Polynomials Ideals and Quotient Rings Polynomial Rings and Prime Ideals Polynomial Rings and Ring Homomorphism Kernels