The big mother of all dualities. 2: Macaulay bases

DOI10.1007/s00200-006-0019-4zbMath1114.13018OpenAlexW2049417491MaRDI QIDQ857881

Maria Grazia Marinari, M. Emilia Alonso García, Ferdinando Mora

Publication date: 5 January 2007

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

Full work available at URL: https://doi.org/10.1007/s00200-006-0019-4

zbMATH Keywords

Lasker-Noether decompositionMacaulay inverse systems

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Commutative Noetherian rings and modules (13E05) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items (5)

Finite sets of \(d\)-planes in affine space ⋮ Towards a Gröbner-free approach to coding ⋮ HELP: a sparse error locator polynomial for BCH codes ⋮ Degröbnerization: a political manifesto ⋮ Effective algorithm for computing Noetherian operators of zero-dimensional ideals

Cites Work

• Ideal basis and primary decompositions: case of two variables
• A remark on a remark by Macaulay or enhancing Lazard structural theorem
• From algebraic sets to monomial linear bases by means of combinatorial algorithms
• Gröbner bases of ideals defined by functionals with an application to ideals of projective points
• Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
• The Big Mother of all Dualities: Möller Algorithm
• On multiplicities in polynomial system solving
• Solving systems of algebraic equations by using gröbner bases
• Properties of Gröbner bases under specializations
• Combinatorial algorithms for the interpolation of polynomials in dimension \(\geq 2\)
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