Results 1 to 6 of 6
Like Tree1Thanks
  • 1 Post By johng

Thread: Looking for the solution of this exercise

  1. #1
    Newbie
    Joined
    May 2017
    From
    Faisalabad, Pakistan
    Posts
    4

    Looking for the solution of this exercise

    Find all ring homomorphism from ℤℤ to ℤ
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Feb 2015
    From
    Ottawa Ontario
    Posts
    1,608
    Thanks
    301

    Re: Looking for the solution of this exercise

    Homomorphism
    Mathematics.
    An into map between two sets that preserves relations between elements.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Joined
    Dec 2012
    From
    Athens, OH, USA
    Posts
    1,107
    Thanks
    460

    Re: Looking for the solution of this exercise

    There are exactly 9 ring homomorphisms. Here they are:

    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Joined
    Dec 2012
    From
    Athens, OH, USA
    Posts
    1,107
    Thanks
    460

    Re: Looking for the solution of this exercise

    My apologies; the previous post is nonsense. Somehow, I thought the integer solutions to $x^2=x$ were 0, 1 and -1! Here's the corrected version:

    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor
    Joined
    Dec 2012
    From
    Athens, OH, USA
    Posts
    1,107
    Thanks
    460

    Re: Looking for the solution of this exercise

    I hope this is the last correction. This question is making me feel kind of stupid. Obviously, rings are not my forte.

    Thanks from DenisB
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Newbie
    Joined
    May 2017
    From
    Faisalabad, Pakistan
    Posts
    4

    Re: Looking for the solution of this exercise

    Thanks Dear...This last try is best & correct
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Help with this exercise
    Posted in the Calculus Forum
    Replies: 1
    Last Post: Apr 17th 2016, 10:42 PM
  2. Replies: 4
    Last Post: Feb 27th 2013, 05:32 AM
  3. Replies: 1
    Last Post: Mar 24th 2010, 12:14 AM
  4. Replies: 2
    Last Post: Sep 7th 2009, 02:01 PM
  5. can you help me with this exercise?
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: Oct 26th 2008, 10:57 AM

/mathhelpforum @mathhelpforum