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Thread: Isomorphic in C

  1. May 12th 2010, 09:13 AM #1
    apple2010
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    Isomorphic in C

    Prove that R[x]/(x^2+1) is isomorphic to C
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  2. May 12th 2010, 10:15 AM #2
    Bruno J.
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    What do you think?

    What does a typical element of \mathbb{R}[x]/(x^2+1) look like?
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  3. May 13th 2010, 12:46 AM #3
    Swlabr
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    Quote Originally Posted by Bruno J. View Post
    What do you think?

    What does a typical element of \mathbb{R}[x]/(x^2+1) look like?
    As a minor aside, but also a minor hint, what are the roots of the polynomial you are quotienting out...?
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« Isomorphism of Rings | Prove integral domain. »

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