Results 1 to 2 of 2

Math Help - homomorphisms

  1. #1
    Junior Member
    Joined
    Mar 2009
    Posts
    42

    homomorphisms

    how many homomorphisms are there from Z[x]/<x^2+1> to R?
    to C? Z/2Z? Z/3Z? Z/5Z?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Banned
    Joined
    Oct 2009
    Posts
    4,261
    Thanks
    2
    Quote Originally Posted by jin_nzzang View Post
    how many homomorphisms are there from Z[x]/<x^2+1> to R?
    to C? Z/2Z? Z/3Z? Z/5Z?

    \mathbb{Z}[x]/\langle x^2+1\rangle \leq \mathbb{C} as rings, so...

    Tonio
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Homomorphisms
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: February 6th 2011, 12:39 PM
  2. No of Homomorphisms
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: January 29th 2010, 05:01 AM
  3. Homomorphisms to and onto
    Posted in the Advanced Algebra Forum
    Replies: 5
    Last Post: April 23rd 2009, 10:21 AM
  4. homomorphisms
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: October 11th 2008, 05:30 PM
  5. Homomorphisms
    Posted in the Advanced Algebra Forum
    Replies: 6
    Last Post: April 23rd 2007, 12:53 PM

Search Tags


/mathhelpforum @mathhelpforum