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Thread: flat algebra

  1. #1
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    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.
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    What does it mean flat algebra? There is no such term when I searched for it on the internet.
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  3. #3
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    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
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  4. #4
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    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.
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