7. Answer these questions for the poset ({2, 6, 8, 12, 18, 36, 48, 60, 96), ), where "|" represents the "divides" relation. (Hint: create a Hasse diagram.) a. Find the maximal elements. b. Find the minimal elements. c. Is there a greatest element? d. Is there a least element? e. Find all upper bounds of {6, 8).
7. Answer these questions for the poset ({2, 6, 8, 12, 18, 36, 48, 60, 96), ), where "|" represents the "divides" relation. (Hint: create a Hasse diagram.) a. Find the maximal elements. b. Find the minimal elements. c. Is there a greatest element? d. Is there a least element? e. Find all upper bounds of {6, 8).
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 17E: In each of the following parts, a relation R is defined on the power set (A) of the nonempty set A....
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