9. Ring Homomorphisms and Ideals

Ideals — Quiz

Test your understanding of ideals with 5 practice questions.

Practice Questions

Question 1

In a commutative ring $R$, what is an ideal $I$?

Question 2

Which set is an ideal of $\mathbb{Z}$?

Question 3

What is the principal ideal generated by $6$ in $\mathbb{Z}$?

Question 4

In $\mathbb{Z}$, what is $\langle 4,10\rangle$?

Question 5

If $I$ is an ideal in a ring $R$ and $a\in I$, which element must also be in $I$?