Proving Properties of an Ordered Ring: R+ & R

[invisible_man]

Let R be an ordered Ring. Assume R+ is well-ordered
Prove:
a) min(R+) = 1.
b) R is an integer ring

 

[Hurkyl]

Sounds like a homework problem all right.

You didn't say it, but I assume you're looking for help? What have you done (successful or not), and where are you stuck?

 

[g_edgar]

(1) Why does min(R+) exist?
(2) Let u = min(R+), assume it is not 1, try to get a contradiction.