I'm having a very tough time understanding homomorphisms and ideals, probably because i'm very fuzzy with the concept of rings. I'm stuck on the following problem:(adsbygoogle = window.adsbygoogle || []).push({});

Find all the ideals in the following rings:

1. Z

2. Z[7] (Z subscript 7, equivalence classes of 7 i'm guessing)

3. Z[6]

4. Z[12]

5. Z[36]

6. Q (set of rationals)

7. Z(this one wasn't written as a subscript, but as brackets, and "i" as the complex number i. what does that mean?)

Can someone help me to understand these better? I'd really really appreciate it.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Ring homomorphisms and ideals

**Physics Forums | Science Articles, Homework Help, Discussion**