A family of monomial ideals with the persistence property

DOI10.1142/S0219498819500932zbMath1419.13024arXiv1804.10532OpenAlexW2962732948MaRDI QIDQ5383872

Ali Soleyman Jahan, Somayeh Moradi, Masoomeh Rahimbeigi, Fahimeh Khosh-Ahang Ghasr

Publication date: 20 June 2019

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

Full work available at URL: https://arxiv.org/abs/1804.10532

zbMATH Keywords

monomial idealpath graphpersistence propertynormally torsion-free

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (1)

Sortable simplicial complexes and \(t\)-independence ideals of proper interval graphs

Cites Work

• A conjecture on critical graphs and connections to the persistence of associated primes
• The stable set of associated prime ideals of a polymatroidal ideal
• Associated primes of powers of edge ideals
• Squarefree monomial ideals that fail the persistence property and non-increasing depth
• Asymptotic Stability of Ass(M/I n M)
• t-clique ideal and t-independence ideal of a graph
• Monomial Ideals

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