From algebraic sets to monomial linear bases by means of combinatorial algorithms

DOI10.1016/0012-365X(94)00126-4zbMath0834.13019MaRDI QIDQ1893979

Marina Mureddu, Luigi Cerlienco

Publication date: 14 April 1996

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

Gröbner basisFerrers diagramalgebraic multisetminimal monomial linear base

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Combinatorics in computer science (68R05) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Related Items (21)

FINITE SETS OF AFFINE POINTS WITH UNIQUE ASSOCIATED MONOMIAL ORDER QUOTIENT BASES ⋮ On the unique minimal monomial basis of Birkhoff interpolation problem ⋮ The big mother of all dualities. 2: Macaulay bases ⋮ Vector space bases associated to vanishing ideals of points ⋮ An algorithm for the discretization of an ideal projector ⋮ Towards a Gröbner-free approach to coding ⋮ Applications of bar code to involutive divisions and a ``greedy algorithm for complete sets ⋮ Stable monomial basis for multivariate Birkhoff interpolation problems ⋮ A fast algorithm for the multivariate Birkhoff interpolation problem ⋮ The lex game and some applications ⋮ Expected term bases for generic multivariate Hermite interpolation ⋮ On the existence of certain error formulas for a special class of ideal projectors ⋮ A bivariate preprocessing paradigm for the Buchberger-Möller algorithm ⋮ The Vanishing Ideal of a Finite Set of Points with Multiplicity Structures ⋮ The discretization for bivariate ideal interpolation ⋮ HELP: a sparse error locator polynomial for BCH codes ⋮ Bar code: a visual representation for finite sets of terms and its applications ⋮ Multivariate interpolation and standard bases for Macaulay modules ⋮ Degröbnerization: a political manifesto ⋮ Boolean ideals and their varieties ⋮ A fast algorithm for multivariate Hermite interpolation

Cites Work

• Gröbner bases of ideals defined by functionals with an application to ideals of projective points
• On the continuous dual of a polynomial bialgebra
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