| %).· lI.A: Y(b)(c)(d)2. In the ring (4Z, +,.), the ideal (8) is(a) not prime(b) maximal(c) maximal and not prime(d) just ideal(b)(c)(d)3. In the ring (Z12, +12,·12 ), the following ideal is maximal(a) (2)(b) (3)(c) (a) and (b)(d) (a) or (b)

Answered: Image /qna-images/answer/bbcdd5ff-9b15-4f5a-a8ba-5a50e1d26ee0.jpg

2. In the ring (4Z, +,.), the ideal (8) is (a) not prime (b) maximal (c) maximal and not prime (d) just ideal (a) (b) (c) (d) 3. In the ring (Z12, +12,-12), the following ideal is maximal . (a) (2) (b) (3) (c) (a) and (b) (d) (a) or (b)

2. In the ring (4Z, +,.), the ideal (8) is (a) not prime (b) maximal (c) maximal and not prime (d) just ideal (a) (b) (c) (d) 3. In the ring (Z12, +12,-12), the following ideal is maximal . (a) (2) (b) (3) (c) (a) and (b) (d) (a) or (b)

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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Question

| %).· lI.
A: Y
(b)
(c)
(d)
2. In the ring (4Z, +,.), the ideal (8) is
(a) not prime
(b) maximal
(c) maximal and not prime
(d) just ideal
(b)
(c)
(d)
3. In the ring (Z12, +12,·12 ), the following ideal is maximal
(a) (2)
(b) (3)
(c) (a) and (b)
(d) (a) or (b)

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