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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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Apr 15, 2023 03:51 AM

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Let R be the following subring of the complex numbers: Then R is a principal ideal domain

Question:

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

Algebra Graduate Texts In Mathematics 73

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