| Title:
|
Squarefree monomial ideals with maximal depth (English) |
| Author:
|
Rahimi, Ahad |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
70 |
| Issue:
|
4 |
| Year:
|
2020 |
| Pages:
|
1111-1124 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $(R,\mathfrak m)$ be a Noetherian local ring and $M$ a finitely generated $R$-module. We say $M$ has maximal depth if there is an associated prime $\mathfrak p$ of $M$ such that depth $M=\dim R/\mathfrak p$. In this paper we study squarefree monomial ideals which have maximal depth. Edge ideals of cycle graphs, transversal polymatroidal ideals and high powers of connected bipartite graphs with this property are classified. (English) |
| Keyword:
|
maximal depth |
| Keyword:
|
cycle graph |
| Keyword:
|
line graph |
| Keyword:
|
whisker graph |
| Keyword:
|
transversal polymatroidal ideal |
| Keyword:
|
power of edge ideal |
| MSC:
|
05E40 |
| MSC:
|
13C15 |
| idZBL:
|
07285983 |
| idMR:
|
MR4181800 |
| DOI:
|
10.21136/CMJ.2020.0171-19 |
| . |
| Date available:
|
2020-11-18T09:48:07Z |
| Last updated:
|
2023-01-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148415 |
| . |
| Reference:
|
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| . |
