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Math Help - Let R=C[x1...xn]/I be a quotient of a polynomial ring overC, and let M be a maximal

  1. #1
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    Let R=C[x1...xn]/I be a quotient of a polynomial ring overC, and let M be a maximal

    Let R=C[x1...xn]/I be a quotient of a polynomial ring overC, and let M be a maximal ideal of R. Prove that R/M isomorphic to C
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  2. #2
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    Quote Originally Posted by dabien View Post
    Let R=C[x1...xn]/I be a quotient of a polynomial ring overC, and let M be a maximal ideal of R. Prove that R/M isomorphic to C

    R/M is an extension field which is a fin. gen. algebra over C and thus it is algebraic over C (why? This is the main point here) ==> as C is algebraically closed we get at once R/M ~ C

    Tonio
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