Results 1 to 2 of 2

Math Help - ...norm takes products to products.

  1. #1
    Junior Member
    Joined
    Feb 2010
    Posts
    34

    ...norm takes products to products.

    Define the norm of an element a + b*sqrt(2) in Z[sqrt(2)] to be a^2 - 2b^2. Prove that the norm takes products to products.

    Thanks!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Drexel28's Avatar
    Joined
    Nov 2009
    From
    Berkeley, California
    Posts
    4,563
    Thanks
    21
    Quote Originally Posted by NikoBellic View Post
    Define the norm of an element a + b*sqrt(2) in Z[sqrt(2)] to be a^2 - 2b^2. Prove that the norm takes products to products.

    Thanks!
    This is just computation. What are you having trouble with?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Dot products
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: July 1st 2011, 03:32 PM
  2. Inner Products
    Posted in the Advanced Algebra Forum
    Replies: 5
    Last Post: April 28th 2011, 05:40 PM
  3. dot products
    Posted in the Advanced Algebra Forum
    Replies: 9
    Last Post: January 9th 2011, 06:44 PM
  4. set products
    Posted in the Discrete Math Forum
    Replies: 3
    Last Post: August 5th 2010, 08:43 AM
  5. Inner products
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: October 4th 2007, 07:36 PM

Search Tags


/mathhelpforum @mathhelpforum