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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Fall 2000 • Question 9

Question

Math 6310 • Algebra Fall 2000 • Question 9

Determine all rings \(R\) with an identity such that \(R\) contains at most 9 elements and \(x^9=x\) for all \(x\in R\).

Raw LaTeX

Determine all rings \(R\) with an identity such that \(R\) contains at most 9 elements and \(x^9=x\)
for all \(x\in R\).

Topic Tags

Ideals and Quotient Rings