10. Integral Domains and Fields

Zero Divisors — Quiz

Test your understanding of zero divisors with 5 practice questions.

Practice Questions

Question 1

Which statement gives the correct definition of a zero divisor in a ring?

Question 2

In $\mathbb{Z}_{10}$, which nonzero element $b$ satisfies $4b=0$?

Question 3

Which ring is an integral domain?

Question 4

Suppose $R$ is an integral domain and $ab=0$ with $a\neq 0$. What must be true?

Question 5

In any ring, is $0$ a zero divisor?