Question: Show that the set A = {2, 3,4, 6, 8, 24, 48} with divisibility as the relation is a partial ordered set. Draw the

Show that the set A = {2, 3,4, 6, 8, 24, 48} 

Show that the set A = {2, 3,4, 6, 8, 24, 48} with divisibility as the relation is a partial ordered set. Draw the Hasse diagram of A. Is it a chain? Justify your answer. Find out the maximal and minimal elements of A. Also, determine the least and greatest elements of A. Give subset of A which is a chain and a subset of A which is an antichain with regard to the same partial order relation. Consider the partial ordered sets (L, C) where L = P(S) is the power set of a non-empty set S and (Q,

Step by Step Solution

3.36 Rating (162 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

A234682448 is a set with divisibiliy as the relaion That means xy if and only if x divides y It is a binary relaion on A To show that this is a partial order we have to prove reflexivity antisymmetry ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!