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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Fall 2019 • Question 8

Question

Math 6310 • Algebra Fall 2019 • Question 8

Suppose that \(k\) is the field with 3 elements and let \(R=k[x]\). Identify nine different (up to isomorphism) \(R\)-modules \(M\) such that \(|M|=9\).

Raw LaTeX

Suppose that \(k\) is the field with 3 elements and let \(R=k[x]\). Identify nine different (up to
isomorphism) \(R\)-modules \(M\) such that \(|M|=9\).

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Finite Fields