WebExpert Answer. 100% (1 rating) Transcribed image text: QUESTION 8 Let D30 be the poset consisting of all the positive divisors of 30 under the partial order of divisibility (a) Write down the elements of D30 (b) Draw the Hasse diagram of D30 (c) Is D30 a lattice? Give a reason for your answer (d) Give the complement of each element of D30 (e ...

Solved QUESTION 8 Let D30 be the poset consisting of all the - Chegg

WebApr 9, 2024 · This Hasse diagram illustrates the "Divisor" ordering on the set $S = \set {1, 2, 3, 4, 6, 8, 12, 24}$, where $S$ is the set of all elements of $\N_{>0}$ which divide $24$. … WebExpert Answer. 1. Let p and q be two distinct primes. a) Draw the Hasse diagram of all positive divisors of p3q6. b) How many edges are there in the Hasse diagram of all positive divisors of pq" where mand n are positive integers ? Employ your id to calculate a specific number that will be used in the further questions as follows ('14290504 ... ross online shopping catalog

Answer in Discrete Mathematics for Govardhan #290602

Webb) For all 2 ≤ n ≤ 35, 2 \leq n \leq 35, 2 ≤ n ≤ 35, show that the Hasse diagram for the set of positive-integer divisors of n looks like one of the nine diagrams in part (a). (Ignore the numbers at the vertices and concentrate on the structure given by the vertices and edges.) WebJul 30, 2012 · A Hasse diagram is a graphical representation of a partially ordered set (poset). The set consisting of the divisors of a positive integer can be considered a poset under the relation if divides . For this poset, … WebI. We have 105= 3 x 5 x 7. Hence, 105 is the product of distinct prime number. D 105 is a Boolean algebra. D 105 = {1,3,5,7,15,21,35,105} The Hasse diagram of D 105 is shown in the figure. II.We have 72= 8 x 9. Hence, 72 is not the product of distinct prime number. D 72 = {1,2,3,4,6,8,9,12,18,24,36,72} ross on expanding medicaid