Depth and Stanley depth of the facet ideals of some classes of simplicial complexes

Title:

Depth and Stanley depth of the facet ideals of some classes of simplicial complexes

Creator:

Wei, Xiaoqi and Gu, Yan

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:6d4c71a8-7e7a-4243-a6dd-a628dbcc6140
uuid:6d4c71a8-7e7a-4243-a6dd-a628dbcc6140
issn:0011-4642

Subject:

mathematics, monomial ideal, facet ideal, depth, Stanley depth, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

Let $\Delta_{n,d}$ (resp. $\Delta_{n,d}'$) be the simplicial complex and the facet ideal $I_{n,d}=(x_1\cdots x_d,x_{d-k+1}\cdots x_{2d-k},\ldots,x_{n-d+1}\cdots x_n)$ (resp. $J_{n,d}=(x_1\cdots x_d,x_{d-k+1}\cdots x_{2d-k},\ldots,x_{n-2d+2k+1}\cdots x_{n-d+2k},x_{n-d+k+1}\cdots x_nx_1\cdots x_k)$). When $d\geq2k+1$, we give the exact formulas to compute the depth and Stanley depth of quotient rings $S/J_{n,d}$ and $S/I_{n,d}^t$ for all $t\geq1$. When $d=2k$, we compute the depth and Stanley depth of quotient rings $S/J_{n,d}$ and $S/I_{n,d}$, and give lower bounds for the depth and Stanley depth of quotient rings $S/I_{n,d}^t$ for all $t\geq1$., Xiaoqi Wei, Yan Gu., and Obsahuje bibliografické odkazy

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

753-766

Source:

Czechoslovak Mathematical Journal | 2017 Volume:67 | Number:3

Harvested from:

CDK

Metadata only:

false