The weak Lefschetz properties of artinian monomial algebras associated to certain tadpole graphs
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916518086836224 |
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| author | Hung, Phan Minh Phuoc, Nguyen Duy Son, Tran Nguyen Thanh |
| author_facet | Hung, Phan Minh Phuoc, Nguyen Duy Son, Tran Nguyen Thanh |
| contents | Given a simple graph $G$, the artinian monomial algebra associated to $G$, denoted by $A(G)$, is defined by the edge ideal of $G$ and the squares of the variables. In this article, we classify some tadpole graphs $G$ for which $A(G)$ has or fails the weak Lefschetz property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_08037 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The weak Lefschetz properties of artinian monomial algebras associated to certain tadpole graphs Hung, Phan Minh Phuoc, Nguyen Duy Son, Tran Nguyen Thanh Commutative Algebra Combinatorics Given a simple graph $G$, the artinian monomial algebra associated to $G$, denoted by $A(G)$, is defined by the edge ideal of $G$ and the squares of the variables. In this article, we classify some tadpole graphs $G$ for which $A(G)$ has or fails the weak Lefschetz property. |
| title | The weak Lefschetz properties of artinian monomial algebras associated to certain tadpole graphs |
| topic | Commutative Algebra Combinatorics |
| url | https://arxiv.org/abs/2412.08037 |