The weak Lefschetz property of artinian algebras associated to paths and cycles
HD Nguyen, QH Tran - Acta Mathematica Vietnamica, 2024 - Springer
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 …
algebra A (G) defined by the edge ideal of G and the squares of the variables. We study the …
The strong Lefschetz property for quadratic reverse lexicographic ideals
FJ Kling - arXiv preprint arXiv:2310.15611, 2023 - arxiv.org
Consider ideals $ I $ of the form\[I=(x_1^ 2,\dots, x_n^ 2)+\mathrm {RLex}(x_ix_j)\] where
$\mathrm {RLex}(x_ix_j) $ is the ideal generated by all the square-free monomials which are …
$\mathrm {RLex}(x_ix_j) $ is the ideal generated by all the square-free monomials which are …
The strong Lefschetz property for quadratic reverse lexicographic ideals
F Jonsson Kling - Proceedings of the American Mathematical Society …, 2024 - ams.org
Consider ideals $ I $ of the form\[I=(x_1^ 2,\dots, x_n^ 2)+\operatorname {RLex}(x_ix_j)\]
where $\operatorname {RLex}(x_ix_j) $ is the ideal generated by all the square-free …
where $\operatorname {RLex}(x_ix_j) $ is the ideal generated by all the square-free …