Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Ordered Ring

  1. Apr 26, 2010 #1
    Let R be an ordered Ring. Assume R+ is well-ordered
    Prove:
    a) min(R+) = 1.
    b) R is an integer ring
     
  2. jcsd
  3. Apr 27, 2010 #2

    Hurkyl

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    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?
     
  4. Apr 27, 2010 #3
    (1) Why does min(R+) exist?
    (2) Let u = min(R+), assume it is not 1, try to get a contradiction.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Ordered Ring
  1. Dimension of a ring (Replies: 2)

  2. Ring Startup (Replies: 2)

  3. Rings as algebras (Replies: 7)

  4. Cyclic rings (Replies: 1)

Loading...