can anyone help in this problem please if you cannot solve it please please don't copy post from answers thanks clear hand

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answerhappygod
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can anyone help in this problem please if you cannot solve it please please don't copy post from answers thanks clear hand

Post by answerhappygod »

can anyone help in this problem
please if you cannot solve it
please please don't copy post from answers
thanks
clear handwriting
Suppose that S is a commutative ring with identity, and R is a subring that also contains 1 € S). We assume that S is finitely generated over R, i.e., there exist a1, 22, ..., an ES such that every element of S is of the form pla1, 22, ..., an) for some polynomial p(x1, 12,..., In) with coefficients in R. Show that if R is noetherian, then S is noetherian.
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