Results 1 to 2 of 2

Thread: Integral domain (Rings)

  1. July 28th 2008, 05:39 AM #1
    Ryan0710
    Ryan0710 is offline
    Newbie
    Joined
    May 2008
    Posts
    12

    Integral domain (Rings)

    give an example to show that an integral domain may have a homorpjic image which contains divisors of zero. You must prove your claim.
    Follow Math Help Forum on Facebook and Google+
  2. July 28th 2008, 02:52 PM #2
    ThePerfectHacker
    ThePerfectHacker is offline
    Global Moderator ThePerfectHacker's Avatar
    Joined
    Nov 2005
    From
    New York City
    Posts
    10,603
    Define mapping from \mathbb{Z} to \mathbb{Z}_4 by x\mapsto [x]_4.
    Follow Math Help Forum on Facebook and Google+
« Ideals and factor rings | İsomorphism »

Similar Math Help Forum Discussions

  1. Ring theory, graded rings and noetherian rings
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: January 4th 2012, 11:46 AM
  2. a book on semigroup rings and group rings
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: October 2nd 2011, 04:35 AM
  3. Integral rings
    Posted in the Advanced Algebra Forum
    Replies: 7
    Last Post: March 24th 2010, 07:59 PM
  4. Rings: Principal Ideal domain
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: March 7th 2010, 05:21 PM
  5. Rings and Integral Domains
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: September 16th 2008, 09:37 AM

Search Tags


/mathhelpforum @mathhelpforum