The a0-invariants of powers of a two-dimensional squarefree monomial ideal

DOI10.1142/s0219498824500518zbMath1529.13011arXiv2112.04844OpenAlexW4309827935MaRDI QIDQ6067291

Dancheng Lu, Lizhong Chu

Publication date: 14 December 2023

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

Full work available at URL: https://arxiv.org/abs/2112.04844

zbMATH Keywords

cyclecliquelocal cohomologybasic graph\(a_0\)-invariantone-dimensional simplicial complexes

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Syzygies, resolutions, complexes and commutative rings (13D02) Local cohomology and commutative rings (13D45)

Cites Work

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• Castelnuovo-Mumford regularity of symbolic powers of two-dimensional square-free monomial ideals
• Cohen-Macaulayness of monomial ideals and symbolic powers of Stanley-Reisner ideals
• The socle module of a monomial ideal
• Geometric regularity of powers of two-dimensional squarefree monomial ideals
• The regularity of powers of edge ideals
• Bounding the socles of powers of squarefree monomial ideals
• Monomial Ideals
• Stability of depths of powers of edge ideals
• Regularity of powers of Stanley–Reisner ideals of one‐dimensional simplicial complexes

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