Thread: Hasse diagram

Hi everyone. I've got a one question:
Let M={x belog to P: 1<=x<=500} and X = {x belon to M: 15|x and x|360} where | meand divides.
How to draw a Hasse diagram of the poset (X,|)?

I'll be very appreciate for any advice.

regards

Originally Posted by Snowboarder

Hi everyone. I've got a one question:
Let M={x belog to P: 1<=x<=500} and X = {x belon to M: 15|x and x|360} where | meand divides.
How to draw a Hasse diagram of the poset (X,|)?

I'll be very appreciate for any advice.

regards

do you mean Primes by P. if so how can 15 divide a prime number ?

Originally Posted by Snowboarder

Hi everyone. I've got a one question:
Let M={x belog to P: 1<=x<=500} and X = {x belon to M: 15|x and x|360} where | meand divides.
How to draw a Hasse diagram of the poset (X,|)?

First, you need to make a list of all the multiples of 15 that are factors of 360. Since and , the possible candidates are 15 multiplied by 1, 2, 4 or 8, together with the same numbers multiplied by 3. That gives you the list 15, 30, 60, 120, 45, 90, 180, 360. The Haase diagram then consists of all those numbers, with lines to indicate when one number is a factor of another number. See the attachment.

Originally Posted by nirax

do you mean Primes by P. if so how can 15 divide a prime number ?

I think its the set of all positive integers... I think