Results 1 to 2 of 2

Math Help - Prove that J is an ideal.

  1. #1
    Junior Member
    Joined
    Jan 2010
    Posts
    29

    Prove that J is an ideal.

    Let I be an ideal in a commutative ring R and let
    J = {r belongs to R | r^n belongs to I for some positive integer n}.

    Prove that J is an ideal that contains I.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Drexel28's Avatar
    Joined
    Nov 2009
    From
    Berkeley, California
    Posts
    4,563
    Thanks
    21
    Quote Originally Posted by Deepu View Post
    Let I be an ideal in a commutative ring R and let
    J = {r belongs to R | r^n belongs to I for some positive integer n}.

    Prove that J is an ideal that contains I.
    Once again let's see some work friend. I have seen none and I've seen zip, nadda.
    Last edited by mr fantastic; April 17th 2010 at 08:41 PM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Prove that if R is a PID then every ideal in S is also principal.
    Posted in the Advanced Algebra Forum
    Replies: 15
    Last Post: March 30th 2011, 11:10 AM
  2. prove N is a maximal ideal iff N is a prime ideal
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: March 20th 2011, 09:02 AM
  3. Prove, that an ideal is prime in O_K
    Posted in the Number Theory Forum
    Replies: 3
    Last Post: December 3rd 2010, 09:00 AM
  4. Prove something is an ideal
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: May 2nd 2010, 10:06 PM
  5. Prove that every ideal in F[x] is principle.
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: April 17th 2010, 03:10 PM

Search Tags


/mathhelpforum @mathhelpforum