The standard way to construct a Poset is the poset method. However, this package also provides many enumerators for common posets.
For example, we can construct a boolean lattice in many ways. First, we construct it with the booleanLattice method.
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We can also construct it as a product of length 2 chains.
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Further, we can construct it as the divisorPoset of a product of primes.
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It is also the standardMonomialPoset of the Ideal of squares of the variables.
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There are many other common posets that can be generated with this package. See the below list for the methods.