Results 1 to 4 of 4

Math Help - flat algebra

  1. #1
    Member
    Joined
    Jan 2008
    Posts
    154

    flat algebra

    Let  A[x] be the ring of polynomials in one indeterminate over a ring  A . Prove that  A[x] is a flat A-algebra.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    10
    What does it mean flat algebra? There is no such term when I searched for it on the internet.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Jan 2008
    Posts
    154
    The book doesn't even define it, but expects you to solve a problem with the term in it.

    This is from an Introduction to Commutative Algebra by Atiyah
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Opalg's Avatar
    Joined
    Aug 2007
    From
    Leeds, UK
    Posts
    4,041
    Thanks
    7
    Quote Originally Posted by heathrowjohnny View Post
    The book doesn't even define it, but expects you to solve a problem with the term in it.

    This is from an Introduction to Commutative Algebra by Atiyah
    I guess it's asking you to prove that A[x] is a flat A-module.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. turning 3d objects into flat 2d planes
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: March 12th 2011, 12:02 PM
  2. Flat tail?
    Posted in the Differential Geometry Forum
    Replies: 3
    Last Post: April 16th 2010, 03:00 PM
  3. Volume of outside of flat topped cone
    Posted in the Geometry Forum
    Replies: 2
    Last Post: February 6th 2010, 01:12 PM
  4. Flat
    Posted in the Calculus Forum
    Replies: 3
    Last Post: June 29th 2008, 10:20 AM
  5. Irradiance onto a flat plate at certain orientation
    Posted in the Advanced Applied Math Forum
    Replies: 2
    Last Post: April 21st 2007, 06:09 AM

Search Tags


/mathhelpforum @mathhelpforum