Strong Nœther Position and Stabilized Regularities

DOI10.1080/00927870902828546zbMath1193.13019OpenAlexW2020354213MaRDI QIDQ5305989

Amir Hashemi

Publication date: 24 March 2010

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

Full work available at URL: https://doi.org/10.1080/00927870902828546

zbMATH Keywords

Gröbner basisCastelnuovo-Mumford regularitygeneric coordinatesHilbert regularitysatiety

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Related Items (5)

Unnamed Item ⋮ Deterministic genericity for polynomial ideals ⋮ Recursive structures in involutive bases theory ⋮ Effective Genericity, δ-Regularity and Strong Noether Position ⋮ Dimension and depth dependent upper bounds in polynomial ideal theory

Uses Software

• Macaulay2

Cites Work

• Unnamed Item
• A criterion for detecting m-regularity
• Linear free resolutions and minimal multiplicity
• Minimal resolutions of some monomial ideals
• Résolution des systèmes d'équations algébriques
• Castelnuovo-Mumford regularity: Examples of curves and surfaces.
• The Projective Noether Maple Package: Computing the dimension of a projective variety
• Saturation and Castelnuovo-Mumford regularity
• Computing the Castelnuovo-Mumford regularity of some subschemes of \(\mathbb{P}_K^n\) using quotients of monomial ideals

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