Question

Consider the divisibilty partial order on the set A = {2,4,6,10,12,20} so that aRb if and...

Consider the divisibilty partial order on the set A = {2,4,6,10,12,20} so that aRb if and only if a|b

a). List any greatest elements (or state that there are none):

d). List any maximal elements (or state that there are none):

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Define a relation R on the set Natural Numbers given by aRb if and only if...
Define a relation R on the set Natural Numbers given by aRb if and only if a + b is even. a). Write a careful proof to show that R is an equivalence relation. b). Describe the elements in the equivalence class of [3].
For Discrete Mathematics, Give an example of a partial order relation that is defined on a...
For Discrete Mathematics, Give an example of a partial order relation that is defined on a finite set that contains at least ten elements. State what the set is and how the partial order is defined. Show that the relation satisfies the three properties required of partial order. Draw a directed graph for that partial order.
Let X be the set {1, 2, 3}. a)For each function f in the set of...
Let X be the set {1, 2, 3}. a)For each function f in the set of functions from X to X, consider the relation that is the symmetric closure of the function f'. Let us call the set of these symmetric closures Y. List at least two elements of Y. b) Suppose R is some partial order on X. What is the smallest possible cardinality R could have? What is the largest?
Let S = {0,1,2,3,4,5,6,7,8}. Test the following binary relation on S for reflexivity, symmetry, antisymmetry, and...
Let S = {0,1,2,3,4,5,6,7,8}. Test the following binary relation on S for reflexivity, symmetry, antisymmetry, and transitivity. xρy if and only if x+y = 8. Is ρ an equivalence relation? If we change the relation to x ρ y if and only if x+y 6 8 how will the cardinality of ρ change? Give a detailed explanation. 2. draw the Hasse diagram for the partial ordering “x divides y” on the set {24,3,4,12,96,15,21,36}. Name any least elements, minimal elements, greatest...
Prove that the divides relation is a partial order on the set of positive integer.
Prove that the divides relation is a partial order on the set of positive integer.
Prove that the divides relation is a partial order on the set of positive integer.
Prove that the divides relation is a partial order on the set of positive integer.
1. Consider the following situation: The universal set U is given by: U = {?|? ?...
1. Consider the following situation: The universal set U is given by: U = {?|? ? ? , ? ≤ 12} A is a proper subset of U, with those numbers that are divisible by 4. B is a proper subset of U, with those numbers that are divisible by 3. C is a proper subset of U, with those numbers that are divisible by 2 a) Using Roster Notation, list the elements of sets U, A, B and C....
a. What are the maximal and minimal elements, if any, of the set (N+,|)? Is there...
a. What are the maximal and minimal elements, if any, of the set (N+,|)? Is there a minimum or maximum element? (N+={1,2,3,4,...}). b. There are five flavors of icecream: banana, chocolate, lemon, strawberry and vanilla. We can have three scoops. How many variations will there be?
Using only the periodic table, arrange each set of atoms in order of decreasing radius. Part...
Using only the periodic table, arrange each set of atoms in order of decreasing radius. Part A Rank elements from largest atomic radius to smallest atomic radius. Na, Ra, and Sr: Part B Rank elements from largest atomic radius to smallest atomic radius. As, In, and Sn: Part C Rank elements from largest atomic radius to smallest atomic radius. Be, Si, and P:
What type of order carries the greatest price risk to the client? a) All or none...
What type of order carries the greatest price risk to the client? a) All or none b) Limit order c) Market d) Stop-buy order