Monomial ideals and toric rings of Hibi type arising from a finite poset (1007.2092v2)

Abstract: In this paper we study monomial ideals attached to posets, introduce generalized Hibi rings and investigate their algebraic and homological properties. The main tools to study these objects are Groebner basis theory, the concept of sortability due to Sturmfels and the theory of weakly polymatroidal ideals.