7 citations · 10 across the 3 of their papers we have counts for
3 papers
math.AC2008
Skeletons of monomial ideals
Juergen Herzog, Ali Soleyman Jahan, Xinxian Zheng
In analogy to the skeletons of a simplicial complex and their Stanley--Reisner ideals we introduce the skeletons of an arbitrary monomial ideal . This al…
math.AC2007★ 3 cited
How to compute the Stanley depth of a monomial ideal
Jürgen Herzog, Marius Vladoiu, Xinxian Zheng
Let be monomial ideals. We show that the Stanley depth of can be computed in a finite number of steps. We also introduce the $\fdepth$ of a monomial ideal which…
math.AC2007★ 7 cited
Pretty clean monomial ideals and linear quotients
Ali Soleyman Jahan, Xinxian Zheng
We study basic properties of monomial ideals with linear quotients. It is shown that if the monomial ideal has linear quotients, then the squarefree part of and each compon…