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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