Q: (A) Let R =(Z12, +12-12).1. Find all maximal ideals of R.2. Evaluate char. (R).3. Is R a field? Why?

Introduction: Rings are algebraic structures in mathematics that generalise fields: multiplication…

Answered: Q: (A) Let R =(Z12, +12-12). 1. Find…

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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Q: (A) Let R =(Z12, +12-12). 1. Find all maximal ideals of R. 2. Evaluate char. (R). 3. Is R a field? Why