(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)
(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)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![(7) Are the following ideals.
Prime, Maximal or neither
in 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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c55fd55-ae67-4b97-a36c-91359ff73a6f%2Fbfadce6e-6c8f-499f-9d5c-0ec8222314b3%2Flm7dnte_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(7) Are the following ideals.
Prime, Maximal or neither
in 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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