Consider the "divides" relation on the set A = {1, 2, 3, 5, 6, 7, 8, 10, 20, 30, 60, 70} (a) Draw the Hasse Diagram for this poset. (b) Find the maximal elements or explain why there are no maximal elements. (c) Find the minimal elements or explain why there are no minimal elements (d) Find the greatest element or explain why there is no greatest element. (e) Find the least element or explain why there is no least element.
Consider the "divides" relation on the set A = {1, 2, 3, 5, 6, 7, 8, 10, 20, 30, 60, 70} (a) Draw the Hasse Diagram for this poset. (b) Find the maximal elements or explain why there are no maximal elements. (c) Find the minimal elements or explain why there are no minimal elements (d) Find the greatest element or explain why there is no greatest element. (e) Find the least element or explain why there is no least element.
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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Consider the "divides" relation on the set A = {1, 2, 3, 5, 6, 7, 8, 10, 20, 30, 60, 70}
(a) Draw the Hasse Diagram for this poset.
(b) Find the maximal elements or explain why there are no maximal elements.
(c) Find the minimal elements or explain why there are no minimal elements
(d) Find the greatest element or explain why there is no greatest element.
(e) Find the least element or explain why there is no least element.
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