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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Fall 2003 • Question 8

Question

Math 6310 • Algebra Fall 2003 • Question 8

Determine, with proof, all rings \(R\) such that \(R\) contains at most 11 elements and \(x^{11}=x\) for all \(x\in R\).

Raw LaTeX

Determine, with proof, all rings \(R\) such that \(R\) contains at most 11 elements and \(x^{11}=x\)
for all \(x\in R\).

Topic Tags

Ideals and Quotient Rings