2007/11/12 by Michael Goff, Goff, Michael
Computer Science · Mathematics · #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Graph theory and applications #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.0711.1691
openalex publication_date 2007/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A weaker form of the multiplicity conjecture of Herzog, Huneke, and Srinivasan is proven for two classes of monomial ideals: quadratic monomial ideals and squarefree monomial ideals with sufficiently many variables relative to the Krull dimension. It is also shown that tensor products, as well as Stanley-Reisner ideals of certain unions, satisfy the multiplicity conjecture if all the components do. Conditions under which the bounds are achieved are also studied.