This is very basic question, but often puts me in confusion. Let $Z$ be the ring of integers and $Z[X]$ be the polynomial ring over $Z$. Then What is $Z[X]/\langle 6x\rangle$? Is it $Z_6\times Z$ or $Z_6[X]\times Z$
Asked
Active
Viewed 68 times
2
-
Can you find a homomorphism from $\mathbb{Z}[X]$ (to any other ring) whose kernel would be $\langle 6x\rangle$? – Prahlad Vaidyanathan Sep 26 '13 at 16:05
-
I changed $Z[X]/<6x>$ to $Z[X]/\langle 6x\rangle$. That is standard usage. – Michael Hardy Sep 26 '13 at 16:17
-
@PrahladVaidyanathan thank you very much. – Math123 Sep 27 '13 at 09:26
-
@MichaelHardy thanks for editing – Math123 Sep 27 '13 at 09:27