Results 1 to 2 of 2

Math Help - maximal ideals

  1. #1
    Junior Member
    Joined
    Oct 2008
    Posts
    70

    maximal ideals

    How do you prove that the ideal <x> in Q[x] is maximal?

    Thanks!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    9
    Quote Originally Posted by morganfor View Post
    How do you prove that the ideal <x> in Q[x] is maximal?

    Thanks!
    If p(x) is irreducible then \left< p(x) \right> is maximal.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Prime Ideals, Maximal Ideals
    Posted in the Advanced Algebra Forum
    Replies: 8
    Last Post: March 7th 2011, 07:02 AM
  2. Maximal Ideals
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: January 28th 2011, 05:12 PM
  3. Maximal Ideals
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: November 7th 2009, 08:17 AM
  4. Maximal ideals of C[x,y]
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: February 10th 2009, 03:49 PM
  5. Maximal Ideals of Q[x]
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: September 28th 2008, 06:26 PM

Search Tags


/mathhelpforum @mathhelpforum