Abstract
In this article, we study the weak and strong Lefschetz properties, and the related notion of almost revlex ideal, in the non-Artinian case, proving that several results known in the Artinian case hold also in this more general setting. We then apply the obtained results to the study of the Jacobian algebra of hyperplane arrangements.
Original language | English (US) |
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Pages (from-to) | 289-304 |
Number of pages | 16 |
Journal | Journal of Algebra |
Volume | 555 |
DOIs | |
State | Published - Aug 1 2020 |
Externally published | Yes |
Keywords
- Almost revlex
- Hyperplane arrangement
- Strong Lefschetz property
- Weak Lefschetz property
ASJC Scopus subject areas
- Algebra and Number Theory