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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Spring 2005 • Question 4

Question

Math 6310 • Algebra Spring 2005 • Question 4

Let \(R\) be a finite ring with identity. Let \(a\) be a nonzero element of \(R\) which is not invertible. Prove that \(a\) is a zero divisor.

Raw LaTeX

Let \(R\) be a finite ring with identity. Let \(a\) be a nonzero element of \(R\) which is not
invertible. Prove that \(a\) is a zero divisor.

Topic Tags

Ideals and Quotient Rings