2. Use the Fundamental Homomorphism Theorem for rings (FHT) to prove (the ideal generated by 2-4) is a prime ideal of Ziz), which isnot maximal.

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Answered: 2. Use the Fundamental Homomorphism…

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 28E: If R is a finite commutative ring with unity, prove that every prime ideal of R is a maximal ideal...

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2. Use the Fundamental Homomorphism Theorem for rings (FHT) to prove (the ideal generated by x-4) is a prime ideal of Ziz), which is not maximal.