A commutative ring R is said to be ordered if there is a subset RP of R such that RP
Chapter 28, Problem 28.10(choose chapter or problem)
A commutative ring R is said to be ordered if there is a subset RP of R such that RP satisfiesthe conditions on D P in the definition of ordered integral domain.(a) Verify that if positive has its usual meaning, then the ring of even integers is ordered.Make clear which properties of the even integers are used.(b) Let R = M(lll.), the ring in Example 24.5. Let f E RP mean that f(O) > O. Does thismake R an ordered commutative ring? Justify your answer.
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer