On the Stable Set of Associated Prime Ideals of Monomial Ideals and Square-Free Monomial Ideals

DOI10.1080/00927872.2013.793696zbMath1338.13021OpenAlexW2019727382WikidataQ58841464 ScholiaQ58841464MaRDI QIDQ2876241

Kazem Khashyarmanesh, Mehrdad Nasernejad

Publication date: 18 August 2014

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

Full work available at URL: https://doi.org/10.1080/00927872.2013.793696

zbMATH Keywords

monomial idealassociated prime ideal

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Other special types of modules and ideals in commutative rings (13C13)

Related Items

On the embedded associated primes of monomial ideals ⋮ The strong persistence property and symbolic strong persistence property ⋮ Superficial ideals for monomial ideals ⋮ On the strong persistence property and normality of cover ideals of theta graphs ⋮ Detecting the maximal-associated prime ideal of monomial ideals ⋮ Associated primes of powers of cover ideals under graph operations ⋮ On the Alexander dual of the path ideals of rooted and unrooted trees

Cites Work

• On the stable set of associated prime ideals of a monomial ideal
• 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
• The stable set of associated prime ideals of a polymatroidal ideal
• Associated primes of powers of edge ideals
• Certain ideals for which \(I_ 1 \dots I_ g=I_ 1\cap \dots \cap I_ g\)
• Embedded associated primes of powers of square-free monomial ideals

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