Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4655362 | Journal of Combinatorial Theory, Series A | 2014 | 13 Pages |
Abstract
We disprove the conjecture by providing an infinite family of counterexamples. Furthermore, the smallest member of the family answers a question of Herzog and Hibi concerning the depth functions of square-free monomial ideals in polynomial rings, and a related question on the persistence property of such ideals.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
TomáÅ¡ Kaiser, MatÄj StehlÃk, Riste Å krekovski,