Two lower bounds for the Stanley depth of monomial ideals

L Katthän, SA Seyed Fakhari - Mathematische Nachrichten, 2015 - Wiley Online Library
Let be two monomial ideals of the polynomial ring. In this paper, we provide two lower
bounds for the Stanley depth of. On the one hand, we introduce the notion of lcm number of …

On Linear Quotients of Squarefree Monomial Ideals

E Manouchehri, A Soleyman Jahan - Bulletin of the Malaysian …, 2020 - Springer
Abstract Let I ⊂ K x_1, ..., x_n I⊂ K x 1,…, xn be a squarefree monomial ideal generated in
one degree. Let G_I GI be the graph whose nodes are the generators of I, and two vertices …

The linear syzygy graph of a monomial ideal and linear resolutions

E Manouchehri, AS Jahan - Czechoslovak Mathematical Journal, 2021 - Springer
Abstract for each squarefree monomial ideal I⊂ S= kx 1,…, xn, we associate a simple finite
graph GI by using the first linear syzygies of I. The nodes of GI are the generators of I, and …

[PDF][PDF] VERTEX DECOMPOSABILITY OF K-COHEN-MACAULAY SIMPLICIAL COMPLEXES OF CODIMENSION 3

SM Ajdani, F Bulnes - Advanced Mathematical Models & …, 2020 - jomardpublishing.com
1 Introduction Page 1 Advanced Mathematical Models & Applications Vol.5, No.3, 2020, pp.303-306
VERTEX DECOMPOSABILITY OF K-COHEN-MACAULAY SIMPLICIAL COMPLEXES OF …

Linear syzygy graph and linear resolution

E Manouchehri, AS Jahan - arXiv preprint arXiv:1809.00133, 2018 - arxiv.org
For each squarefree monomial ideal $ I\subset S= k [x_ {1},\ldots, x_ {n}] $, we associate a
simple graph $ G_I $ by using the first linear syzygies of $ I $. In cases, where $ G_I $ is a …

[引用][C] A LOWER BOUND FOR THE STANLEY DEPTH OF MONOMIAL IDEALS

SAS FAKHARI - arXiv preprint arXiv:1405.5450, 2014