Integral closure of powers of edge ideals and their regularity

DOI10.1016/j.jalgebra.2022.06.010zbMath1502.13034OpenAlexW4284671329MaRDI QIDQ2168809

Yanyan Li

Publication date: 26 August 2022

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2022.06.010

zbMATH Keywords

regularityintegral closureedge ideals of graphs

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02) Local cohomology and commutative rings (13D45) Combinatorial aspects of commutative algebra (05E40)

Related Items (3)

Regularity of edge ideals via suspension ⋮ Binomial expansion for saturated and symbolic powers of sums of ideals ⋮ Integral closures of powers of sums of ideals

Cites Work

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• Homological invariants of powers of fiber products
• Characteristic-independence of Betti numbers of graph ideals
• Regularity of powers of edge ideals of some graphs
• Depth and regularity modulo a principal ideal
• Comparison between regularity of small symbolic powers and ordinary powers of an edge ideal
• Asymptotic behaviour of Castelnuovo-Mumford regularity
• Regularity of bicyclic graphs and their powers
• Survey on Regularity of Symbolic Powers of an Edge Ideal
• Monomial Algebras
• Dependence of Betti Numbers on Characteristic

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