Q2: Let Ra, b, c e Z'and let p: R → Z be defined such that(16= a.4. Show that ker (4) is a prime ideal in R?

Answered: Image /qna-images/answer/7b517458-a4c6-4032-8719-a67eb9879d45.jpg

Answered: Q2: Let R a, b, c E Z}and let p: R → Z…

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 8E

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Q2: Let R a, b, c E Z}and let p: R → Z be defined such that = a. 4. Show that ker () is a prime ideal in R?