Persistence property for some classes of monomial ideals of a polynomial ring

DOI10.1142/S0219498817501055zbMath1365.13033MaRDI QIDQ5739075

Mehrdad Nasernejad

Publication date: 2 June 2017

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

zbMATH Keywords

powers of idealsmonomial idealsassociated prime idealsRatliff-Rush closed idealsstrongly superficial elements

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Polynomials over commutative rings (13B25) Other special types of modules and ideals in commutative rings (13C13)

Related Items

On the embedded associated primes of monomial ideals ⋮ Dominating ideals and closed neighborhood ideals of graphs ⋮ The strong persistence property and symbolic strong persistence property ⋮ Superficial ideals for monomial ideals ⋮ Classes of normally and nearly normally torsion-free monomial ideals ⋮ On the strong persistence property and normality of cover ideals of theta graphs ⋮ Associated primes of powers of cover ideals under graph operations ⋮ Normality of cover ideals of graphs and normality under some operations

Cites Work

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• Asymptotic Stability of Ass(M/I n M)
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• Minimal path cover sets and monomial ideals

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