Results 1 to 2 of 2

Math Help - Ideals of ring and isomorphic ring :)

  1. #1
    Junior Member
    Joined
    Oct 2009
    Posts
    44

    Cool Ideals of ring and isomorphic ring :)

    1) Find all ideals N of \mathbb{Z}_{12}. In each case compute \mathbb{Z}_{12}/N; that is, find a known ring to which the quotient ring is isomorphic.

    2) Give addition and multiplication tables for 2\mathbb{Z}/8\mathbb{Z}. Are 2\mathbb{Z}/8\mathbb{Z} and \mathbb{Z}_4 isomorphic rings?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,382
    Thanks
    1316
    Okay, have you tried this at all yourself? Since Z_{12} is commutative, it should be easy. What is the difference between " Z_2" and " 2Z"?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Ideals of a ring
    Posted in the Advanced Algebra Forum
    Replies: 5
    Last Post: October 17th 2011, 08:14 PM
  2. not ring isomorphic
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: August 16th 2011, 10:40 AM
  3. Ideals in a ring R
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: December 17th 2008, 09:25 PM
  4. Ideals in a ring
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: December 17th 2008, 04:17 PM
  5. Isomorphic Ring
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: October 31st 2008, 09:52 AM

Search Tags


/mathhelpforum @mathhelpforum