A characterization of stable and Borel ideals

DOI10.1007/s00200-005-0171-2zbMath1120.13018OpenAlexW2046655238MaRDI QIDQ814894

Luciana Ramella, Maria Grazia Marinari

Publication date: 8 February 2006

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00200-005-0171-2

zbMATH Keywords

monomial idealsBorel-fixed idealslex-segmentstable ideals

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)

Cites Work

• A criterion for detecting m-regularity
• Minimal resolutions of some monomial ideals
• Monomial ideals and points in projective space
• Some properties of Borel ideals
• Hilbert function of powers of ideals of low codimension
• Extremal point sets and Gorenstein ideals
• Gröbner bases of ideals defined by functionals with an application to ideals of projective points
• Connectedness of Hilbert scheme
• The Connectedness of Space Curve Invariants
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