Chapter 6: Q24E (page 161)
Find at least three idempotents in the quotient ring.
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Question 4: Let denote the congruence class of the integer a modulon .
(b) Find the kernel of .
Let p be a fixed prime and let Jbe the set of polynomials in whose constant terms are divisible by p. Prove that J is a maximal ideal in .
Let I be an ideal in R. Prove that K is an ideal, where .
Use the First Isomorphism Theorem to show that .
If is a commutative ring with identity and and are principal ideals such that , is it true that ? Justify your answer.
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