7 citations · 17 across the 4 of their papers we have counts for
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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…
Stanley decompositions of squarefree modules and Alexander duality
Ali Soleyman Jahan
In this paper we study how prime filtrations and squarefree Stanley decompositions of squarefree modules over the polynomial ring and the exterior algebra behave with respect to Al…
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…
Stanley decompositions and partitionable simplicial complexes
Juergen Herzog, Ali Soleyman Jahan, Siamak Yassemi
We study Stanley decompositions and show that Stanley's conjecture on Stanley decompositions implies his conjecture on partitionable Cohen-Macaulay simplicial complexes. We also pr…