On the stable set of associated prime ideals of a monomial ideal

DOI10.1007/s00013-012-0368-0zbMath1255.13007arXiv1110.2300OpenAlexW2593210208MaRDI QIDQ412034

Shamila Bayati, Jürgen Herzog, Giancarlo Rinaldo

Publication date: 3 May 2012

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.2300

zbMATH Keywords

powers of idealsmonomial idealsassociated prime ideals

Mathematics Subject Classification ID

Computational aspects and applications of commutative rings (13P99) Other special types of modules and ideals in commutative rings (13C13)

Related Items

Strong persistence and associated primes of powers of monomial ideals ⋮ Generalized cover ideals and the persistence property ⋮ Depth of powers of generalized Hibi ideals ⋮ An effective avoidance principle for a class of ideals ⋮ Detecting the maximal-associated prime ideal of monomial ideals ⋮ On stability properties of powers of polymatroidal ideals ⋮ On the Stable Set of Associated Prime Ideals of Monomial Ideals and Square-Free Monomial Ideals ⋮ A NEW PROOF OF THE PERSISTENCE PROPERTY FOR IDEALS IN DEDEKIND RINGS AND PR¨UFER DOMAINS

Uses Software

• Macaulay2

Cites Work

• Colorings of hypergraphs, perfect graphs, and associated primes of powers of monomial ideals
• Symbolic powers of monomial ideals and vertex cover algebras
• The stable set of associated primes of the ideal of a graph
• Asymptotic Stability of Ass(M/I n M)