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Posets :: divisorPoset(List,List,PolynomialRing)

divisorPoset(List,List,PolynomialRing) -- generates the poset of divisors

Synopsis

Function: divisorPoset
Usage:

P = divisorPoset(m, n, R)
Inputs:
- m, a list, an exponent vector of the lower bound monomial in $R$
- n, a list, an exponent vector of the upper bound monomial in $R$
- R, a polynomial ring,
Outputs:
- P, an instance of the type Poset,

Description

This method generates the divisor poset of the monomials in $R$ whose exponent vectors are given by $m$ and $n$.

i1 : R = QQ[x,y];

i2 : D = divisorPoset({0,1}, {2,2}, R)

o2 = D

o2 : Poset

i3 : D == divisorPoset(y, x^2*y^2)

o3 = true

See also

divisorPoset -- generates the poset of divisors
divisorPoset(ZZ) -- generates the poset of divisors
divisorPoset(RingElement) -- generates the poset of divisors
divisorPoset(RingElement,RingElement) -- generates the poset of divisors with a lower and upper bound