1. Suppose that (R, +,.) is a ring and I is not maximal ideal in R. Then ..(a) I =R(b) 3/ ideal in R such that I CJCR(c) (a) and (b)(d) either (a) or (b)(a) O(b) O(c) O(d) O2. In the ring (4Z,+,.), the ideal (8) is(a) not prime(b) maximal(c) maximal and not prime(d) just ideal

Answered: Image /qna-images/answer/a8702e4f-2b9c-43e9-b2a9-89717ce8b98d.jpg

Answered: 1. Suppose that (R, +,.) is a ring and…

1. Suppose that (R, +,.) is a ring and I is not maximal ideal in R. Then .. (a) I = R (b) 3/ ideal in R such that I CJCR (c) (a) and (b) (d) either (a) or (b) (a) (b) (c) (d)

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter6: More On Rings

Section6.3: The Characteristic Of A Ring

Problem 17E: 17. Suppose is a ring with positive characteristic. Prove that if is any ideal of then is a...

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Question

1. Suppose that (R, +,.) is a ring and I is not maximal ideal in R. Then ..
(a) I =R
(b) 3/ ideal in R such that I CJCR
(c) (a) and (b)
(d) either (a) or (b)
(a) O
(b) O
(c) O
(d) O
2. In the ring (4Z,+,.), the ideal (8) is
(a) not prime
(b) maximal
(c) maximal and not prime
(d) just ideal

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