I'm new to this topic, so any help would be appriciated!
Note: these are all in a communitive ring .
1. .
2. is a unit .
3. and are associative .
4. is prime implies that either or .
1.
If then for some Do you see why ?
2. If is a unit then there exist such that .
If then we see that it is all the multiple of 1 and thus the ring itself.
3. I don't know what associative is sorry.
4.
for some . Since p is prime, either a or b has to have p in its prime factorization. It follows that or