Frobenius and Cartier algebras of Stanley-Reisner rings
  We prove that the Frobenius algebra of the injective hull of a complete Stanley-Reisner ring as well as its Matlis dual notion of Cartier algebra can be only principally generated or infinitely generated. As a consequence we are able to show that the set of F-jumping numbers of generalized test ideals associated to complete Stanley-Reisner rings form a discrete set. 
Josep Alvarez Montaner, Alberto F. Boix, Santiago Zarzuela
math.AC math.AG