Let R be the following subring of the complex numbers: Then R is a principal ideal domain
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Let R be the following subring of the complex numbers:
Then R is a principal ideal domain that is not a Euclidean domain.
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R = = {a + b(1 + √19 i)/2 a,b & Z}
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To show that R is a principal ideal domain we need to show that every ideal in R is principal Let I ...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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