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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Fall 2021 • Question 3

Question

Math 6310 • Algebra Fall 2021 • Question 3

Prove that \(\mathbb {C}[x]\) is integrally closed in \(\mathbb {C}(x)\), the field of rational functions.

Raw LaTeX

Prove that \(\mathbb{C}[x]\) is integrally closed in \(\mathbb{C}(x)\), the field of rational functions.

Topic Tags

Integral Closure