Results 1 to 2 of 2

Math Help - kernel

  1. #1
    Junior Member mathemanyak's Avatar
    Joined
    Jul 2008
    From
    TURKEY
    Posts
    39

    kernel

    Let f: (Z,+)->(Z6,+) defined by f(k)={set of k}
    Find ker f?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member JaneBennet's Avatar
    Joined
    Dec 2007
    Posts
    293
    Quote Originally Posted by mathemanyak View Post
    f(k)={set of k}
    You mean f(k)=\left\{n\in\mathbb{Z}:n\equiv k\!\!\!\pmod{6}\right\}=[k]_6.

    The answer is \{6m:m\in\mathbb{Z}\}. I leave the proof to you.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Kernel
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: December 11th 2010, 12:44 PM
  2. kernel
    Posted in the Advanced Algebra Forum
    Replies: 6
    Last Post: May 31st 2010, 06:19 AM
  3. Kernel
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: May 8th 2010, 05:30 AM
  4. Kernel
    Posted in the Differential Geometry Forum
    Replies: 0
    Last Post: March 5th 2010, 03:15 AM
  5. Kernel
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: November 19th 2009, 06:38 AM

Search Tags


/mathhelpforum @mathhelpforum