Problem 4 Let I = (6, 15, 27) be the ideal in Z generated by 6, 15, and 27. Since every ideal in Z is principal, there is a nonnegative integer d such that I = (d). Find this d, and prove that your answer is correct.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.4: Maximal Ideals (optional)
Problem 14E
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Let I = (6, 15, 27) be the ideal in Z generated by
6, 15, аnd 27. Since every ideal in Z is principal, there is а поппegative
integer d such that I = (d). Find this d, and prove that your answer is
Problem 4
%3D
correct.
Transcribed Image Text:Let I = (6, 15, 27) be the ideal in Z generated by 6, 15, аnd 27. Since every ideal in Z is principal, there is а поппegative integer d such that I = (d). Find this d, and prove that your answer is Problem 4 %3D correct.
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