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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Spring 2017 • Question 7

Question

Math 6310 • Algebra Spring 2017 • Question 7

Let \(\mathbb {F}_5\) be the field with 5 elements. Construct an explicit isomorphism between the fields \(\mathbb {F}_5[x]/(x^2-2)\) and \(\mathbb {F}_5[x]/(x^2-3)\).

Raw LaTeX

Let \(\mathbb{F}_5\) be the field with 5 elements. Construct an explicit isomorphism between the
fields \(\mathbb{F}_5[x]/(x^2-2)\) and \(\mathbb{F}_5[x]/(x^2-3)\).

Topic Tags

Finite Fields Ideals and Quotient Rings