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Computational methods for the construction of a class of Noetherian operators
- Source :
- Experiment. Math. 16, iss. 1 (2007), 41-55
- Publication Year :
- 2007
-
Abstract
- This paper presents some algorithmic techniques for computing explicitly the Noetherian operators associated with a class of ideals and modules over a polynomial ring. The procedures we include in this work can be easily encoded in computer algebra packages such as CoCoA [CoCoATeam 05].
- Subjects :
- Noetherian
Polynomial
Mathematics::Commutative Algebra
General Mathematics
Polynomial ring
polynomial ideals
35C15
Hilbert's basis theorem
Commutative Algebra (math.AC)
Mathematics - Commutative Algebra
Symbolic computation
Noetherian operators
Matrix polynomial
Square-free polynomial
Algebra
symbols.namesake
PDE systems
ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION
FOS: Mathematics
symbols
Gröbner bases
13P10
Monic polynomial
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Experiment. Math. 16, iss. 1 (2007), 41-55
- Accession number :
- edsair.doi.dedup.....bbeb3b9f271a2aaf1a3eb27b20326816