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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Summer 2016 • Question 6

Question

Math 6310 • Algebra Summer 2016 • Question 6

Let \(K[x]\) be a polynomial ring over a field \(K\), and let \(n\) be a positive integer. Classify, up to isomorphism, all finitely generated modules over the ring \(K[x]/(x^n)\).

Raw LaTeX

Let \(K[x]\) be a polynomial ring over a field \(K\), and let \(n\) be a positive integer.
Classify, up to isomorphism, all finitely generated modules over the ring \(K[x]/(x^n)\).

Topic Tags

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