Multivariate interpolation and standard bases for Macaulay modules

DOI10.1006/jabr.2001.9061zbMath1081.13509OpenAlexW2022980402MaRDI QIDQ1851332

Marina Mureddu, Luigi Cerlienco

Publication date: 16 December 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.9061

zbMATH Keywords

Gröbner basesMacaulay inverse system

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Interpolation in approximation theory (41A05) Cohen-Macaulay modules (13C14)

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Cites Work

• Suites récurrentes linéaires. Propriétés algébriques et arithmétiques. (Linear recurrent sequences. Algebraic and arithmetic properties)
• New constructive methods in classical ideal theory
• The Hopf algebra of linearly recursive sequences
• Multivariate Birkhoff interpolation
• From algebraic sets to monomial linear bases by means of combinatorial algorithms
• The construction of Noetherian operators
• Il concetto generale di molteplicita delle soluzioni dei sistemi di equazioni algebriche e la teoria dell'eliminazione
• On the continuous dual of a polynomial bialgebra
• On multiplicities in polynomial system solving
• Über den Multiplizitätsbegriff in der algebraischen Geometrie. Herrn Professor Dr. Ekhard Schmidt zum 75. Geburtstag in Verehrung gewidmet
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