9. Ring Homomorphisms and Ideals
Ring Homomorphisms — Quiz
Test your understanding of ring homomorphisms with 5 practice questions.
Practice Questions
Question 1
For a ring homomorphism $f:R\to S$, which statement must always be true?
Question 2
If $f:R\to S$ is a ring homomorphism, what is $f(0_R)$?
Question 3
What is the kernel of a ring homomorphism $f:R\to S$?
Question 4
What must be true for a ring homomorphism to be an isomorphism?
Question 5
If $x\in\ker(f)$, what is $f(x^2)$?