Lefschetz properties of monomial algebras with almost linear resolution

DOI10.1080/00927872.2019.1691568zbMath1470.13037arXiv1803.01388OpenAlexW2992225076MaRDI QIDQ5220651

Navid Nemati, Nasrin Altafi

Publication date: 27 March 2020

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.01388

zbMATH Keywords

monomial idealsweak Lefschetz propertyalmost linear resolution

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items

The weak Lefschetz property for Artinian Gorenstein algebras of codimension three

Uses Software

• Macaulay2

Cites Work

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• Graded syzygies
• Advanced determinant calculus
• Power sums, Gorenstein algebras, and determinantal loci. With an appendix `The Gotzmann theorems and the Hilbert scheme' by Anthony Iarrobino and Steven L. Kleiman
• The weak and strong Lefschetz properties for Artinian \(K\)-algebras
• The weak Lefschetz property of equigenerated monomial ideals
• The Lefschetz properties
• Monomial ideals, almost complete intersections and the Weak Lefschetz property
• Laplace Equations and the Weak Lefschetz Property
• The regularity of Tor and graded Betti Numbers