2012/03/02 by Qureshi, Ayesha Asloob
#Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.1203.0438
In this paper we consider Hibi rings and Rees rings attached to a poset. We classify the ideal lattices of posets whose Hibi relations are indispensable and the ideal lattices of posets whose Hibi relations form a quadratic Groebner basis with respect to the rank lexicographic order. Similar classifications are obtained for Rees rings of Hibi ideals.