Let R be an integral domain and for each maximal ideal M (which is also prime, of

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Let R be an integral domain and for each maximal ideal M (which is also prime, of course), consider R_M as a subring of the quotient· field of R. Show that ∩ R_M = R, where the intersection is taken over all maximal ideals M of R.

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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Apr 15, 2023 03:05 AM

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Let R be an integral domain and for each maximal ideal M (which is also prime, of

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Let R be an integral domain and let M be a maximal ideal of R We have the following inclusion R R...View the full answer

Algebra Graduate Texts In Mathematics 73

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