Is this statement true? I am kind of confused... Every ideal in Q(i√2) [x, y, z] is finitely generated, where Q(i√2) is(isomorphic to) Q[v]/(v² + 2).

The statement is false. Every ideal in the ring ?(i√2)[x, y, z] is not necessarily finitely…

Answered: Every ideal in Q(i√2) [x, y, z] is…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Similar questions

5. If the median annual salary for 4 employees is $60,000, then which of the following must be true? O A 2 people earn $60,000 a year or less, and 2 people earn $60,000 a year or more OB. 2 people earn less than $60,000 a year, and 2 people earn more than $60,000 a year. OC. At least one person earns exactly $60,000 a year. OD. The mean and mode are also $60,000.
I. Which of the following statements are true? Give an explanation for each false statement. (1) Ø E Ø (2) Ø E {Ø} (3){1,3}= {3,1} (4) Ø = {Ø} (5)ØC {Ø} - (6)1 C {1} 25
n(A) = 20, n(B) = 20, n(C) = 29, n(B ∩ C) = 8, n(S) = 51 Figure Description A Venn diagram has three overlapping circles A, B, and C inside a rectangle S. The first answer blank is inside A and outside B and C. The second answer blank is inside B and outside A and C. The third answer blank is inside C and outside A and B. 4 is inside A and B and outside C. 10 is inside A and C and outside B. The fourth answer blank is inside B and C and outside A. 2 is inside A, B, and C. The fifth answer blank is outside A, B, and C.
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It is known that P(A) = 0.7, P(B) = 0.4 and P(A and B) = 0.24. Which of the following is true? a. A and B are Independent b. A and B are both independent and mutually exclusive (disjoint). c. A and B are neither independent nor mutually exclusive (disjoint) d. A and B are Mutually Exclusive (disjoint)
For this practice, my teacher says the following answers are below. However, I don't know how he got these answers. Please explain. i) ?.?? ii) ?.??? iii) not independent

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Every ideal in Q(i√2) [x, y, z] is finitely generated, where Q(i√2) is (isomorphic to) Q[v]/(v² + 2).