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arXiv · 2412.08037

The weak Lefschetz properties of artinian monomial algebras associated to certain tadpole graphs

Phan Minh Hung·Nguyen Duy Phuoc·Tran Nguyen Thanh Son
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Abstract

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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Phan Minh Hung, Nguyen Duy Phuoc, Tran Nguyen Thanh Son. 2024-12-11. The weak Lefschetz properties of artinian monomial algebras associated to certain tadpole graphs. https://arxiv.org/abs/2412.08037

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