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 RM as a subring of the quotient· field of R. Show that ∩ RM = R, where the intersection is taken over all maximal ideals M of R.
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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
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Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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