Results 1 to 3 of 3
Like Tree1Thanks
  • 1 Post By Gusbob

Math Help - Rings and zero-divisors problem

  1. #1
    Junior Member
    Joined
    Sep 2012
    From
    Pittsburgh
    Posts
    39
    Thanks
    1

    Rings and zero-divisors problem

    Prove or give a counterexample: for any two rings R and S, neither equal to {0},
    the direct product RxS contains 0-divisors.

    I have no idea where to start.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Jan 2008
    Posts
    588
    Thanks
    87

    Re: Rings and zero-divisors problem

    Hint (in fact this is practically a solution): (1,0)\cdot (0,1) = (0,0)
    Thanks from christianwos
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Sep 2012
    From
    Pittsburgh
    Posts
    39
    Thanks
    1

    Re: Rings and zero-divisors problem

    Thank you!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Polynomial rings - zero divisors
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: December 27th 2012, 03:19 PM
  2. Polynomial rings - zero divisors in R and r[x]
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: December 25th 2012, 08:18 PM
  3. Rings and zero divisors
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: April 28th 2011, 09:58 AM
  4. Rings with unity and zero-divisors
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: September 8th 2009, 08:45 AM
  5. Rings, and zero divisors
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: April 2nd 2009, 11:27 PM

Search Tags


/mathhelpforum @mathhelpforum