On the level property of two-dimensional monomial ideals

DOI10.1142/s0219498823501311zbMath1523.13024OpenAlexW4220678033MaRDI QIDQ6104120

Phan Thi Thuy

Publication date: 28 June 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498823501311

zbMATH Keywords

bipartite graphsBetti numbersmonomial idealslevel rings

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02) Combinatorial aspects of commutative algebra (05E40)

Cites Work

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• Castelnuovo-Mumford regularity of symbolic powers of two-dimensional square-free monomial ideals
• On local cohomology of a tetrahedral curve
• Level rings and algebras with straightening laws
• Combinatorics and commutative algebra.
• Level property of ordinary and symbolic powers of Stanley-Reisner ideals
• Tetrahedral curves via graphs and Alexander duality
• A note on the multiplicity and final Betti number of a level algebra
• The Hilbert function of a level algebra
• Unmixed Monomial Ideals of Dimension Two and Their Cohen–Macaulay Properties
• A computation of the Castelnuovo-Mumford regularity of certain two-dimensional unmixed ideals