On the resolution of fan algebras of principal ideals over a Noetherian   ring
  We construct explicitly a resolution of a fan algebra of principal ideals over a Noetherian ring for the case when the fan is a proper rational cone in the plane. Under some mild conditions on the initial data, we show that this resolution is minimal. 
Teresa Cortadellas Benitez, Carlos D'Andrea, Florian Enescu
math.AC