The weak Lefschetz property of artinian algebras associated to paths and cycles
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866929335824285696 |
|---|---|
| author | Nguyen, Hop D. Tran, Quang Hoa |
| author_facet | Nguyen, Hop D. Tran, Quang Hoa |
| contents | Given a base field $\Bbbk$ of characteristic zero, for each graph $G$, we associate the artinian algebra $A(G)$ defined by the edge ideal of $G$ and the squares of the variables. We study the weak Lefschetz property of $A(G)$. We classify some classes of graphs with relatively few edges, including paths and cycles, such that its associated artinian ring has the weak Lefschetz property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_14368 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The weak Lefschetz property of artinian algebras associated to paths and cycles Nguyen, Hop D. Tran, Quang Hoa Commutative Algebra Combinatorics 13E10, 13F20, 13F55, 05C31 Given a base field $\Bbbk$ of characteristic zero, for each graph $G$, we associate the artinian algebra $A(G)$ defined by the edge ideal of $G$ and the squares of the variables. We study the weak Lefschetz property of $A(G)$. We classify some classes of graphs with relatively few edges, including paths and cycles, such that its associated artinian ring has the weak Lefschetz property. |
| title | The weak Lefschetz property of artinian algebras associated to paths and cycles |
| topic | Commutative Algebra Combinatorics 13E10, 13F20, 13F55, 05C31 |
| url | https://arxiv.org/abs/2310.14368 |