(7) Are the following ideals.Prime, Maximal or neitherin the rings R? Why?R = 26x12(a) (x+5),(b)22x+4> R=22 [²]R = Q[²]224x521, R = 21 x 21(e) 71 x 7 26, R = 21 x 21(f)(c) <2x+4>,{a+b√3|319}, R = 2/(√3)Татов

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Answered: (7) Are the following ideals Prime,…

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 4E: Show that the ideal is a maximal ideal of .

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(7) Are the following ideals Prime, Maximal or neither in the rings R? Why? (a) (x+5) R = 216x² (2) (3) 22x+4 R = 2(²) (c) <2x+4), R = Q[²] (d) 221x521, R = 21 × 21 (e) 26 × 726, R = 24 x 24 (f) { a+b√3 [319}, R = 21 [√3)