The weak Lefschetz properties of artinian monomial algebras associated to certain tadpole graphs
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.
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | 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. |
|---|---|
| DOI: | 10.48550/arxiv.2412.08037 |