# 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, ,
• 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