I have a project I will be working on for the next 2 weeks, and would like some help with the following questions please. I will probably post 3 parts to this over the next week or so. Here is part 1!

Put , , and

Prove all of the following statements:

1) and

2) (a) and are subrings of .

(b) ={ | }

(c)

3) (a) Let Then is a unit if and only if and if and only if is in { }

(b) For each there exists such that is associated to in

(c) { | }

Any help would be greatly appreciated, thanks!