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Consider the ring Z. You want to show (3) = (6,9,15). a. Recall, these ideals are first and foremost sets. What two parts do you need to prove to show that these sets are equal? b. Prove (6, 9, 15) ≤ (3). c. Prove (3) (6,9,15).

Consider the ring Z. You want to show (3) = (6,9,15). a. Recall, these ideals are first and foremost sets. What two parts do you need to prove to show that these sets are equal? b. Prove (6, 9, 15) ≤ (3). c. Prove (3) (6,9,15).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.2: Properties Of Division
Problem 52E
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Consider the ring Z. You want to show (3) = (6,9,15). a. Recall, these ideals are first and foremost sets. What two parts do you need to prove to show that these sets are equal? b. Prove (6, 9, 15) ≤ (3). c. Prove (3) (6,9,15).
Transcribed Image Text:Consider the ring Z. You want to show (3) = (6,9,15). a. Recall, these ideals are first and foremost sets. What two parts do you need to prove to show that these sets are equal? b. Prove (6, 9, 15) ≤ (3). c. Prove (3) (6,9,15).
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