The theory of involutive divisions and an application to Hilbert function computations
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Publication:1264458
DOI10.1006/jsco.1997.0194zbMath0943.68191OpenAlexW2045942144MaRDI QIDQ1264458
Publication date: 5 September 2000
Published in: Journal of Symbolic Computation (Search for Journal in Brave)
Full work available at URL: https://ul.qucosa.de/api/qucosa%3A31851/attachment/ATT-0/
Symbolic computation and algebraic computation (68W30) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)
Related Items (23)
Noether normalization guided by monomial cone decompositions ⋮ Constructively factoring linear partial differential operators in two variables ⋮ Canonical state representations and Hilbert functions of multidimensional systems ⋮ On constructivity of involutive divisions ⋮ Effectiveness of involutive criteria in computation of polynomial Janet bases ⋮ Involutive bases algorithm incorporating F\(_5\) criterion ⋮ On computation of Boolean involutive bases ⋮ Involutive divisions and monomial orderings ⋮ On the free resolution induced by a Pommaret basis ⋮ Term-ordering free involutive bases ⋮ Detecting unnecessary reductions in an involutive basis computation ⋮ Combinatorial decompositions for monomial ideals ⋮ Asymmetric approach to computation of Gröbner bases ⋮ A general framework for Noetherian well ordered polynomial reductions ⋮ Involutive characteristic sets of algebraic partial differential equation systems ⋮ NUMERICAL ALGORITHMS FOR DUAL BASES OF POSITIVE-DIMENSIONAL IDEALS ⋮ An implementation for the algorithm of Janet bases of linear differential ideals in the Maple system ⋮ Involutive divisions: Slice and pair properties ⋮ A combinatorial approach to involution and \(\delta \)-regularity. I: Involutive bases in polynomial algebras of solvable type ⋮ Involutivity of field equations ⋮ Reduced Gröbner bases, free difference-differential modules and difference-differential dimension polynomials ⋮ Involutive bases in the Weyl algebra. ⋮ On a conjecture of R. P. Stanley. I: Monomial ideals
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