Hasse Diagrams of Integer Divisors

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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, any edge in the diagram is such that the number below divides the number immediately above. If
is a product of
prime numbers, then
is isomorphic to the set of subsets of
with the relation
if
is contained in
; hence,
is a Boolean algebra in this case.
Contributed by: Jaime Rangel-Mondragon (July 2012)
Open content licensed under CC BY-NC-SA
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