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Finite Sets of Affine Points with Unique Associated Monomial Order Quotient Bases
| Content Provider | Semantic Scholar |
|---|---|
| Author | Li, Zhiping Zhang, Shugong Dong, Tian |
| Copyright Year | 2011 |
| Abstract | The quotient bases for zero-dimensional ideals are often of interest in the investigation of multivariate polynomial interpolation, algebraic coding theory, and computational molecular biology, etc. In this paper, we discuss the properties of zero-dimensional ideals with unique monomial order quotient bases, and verify that the vanishing ideals of Cartesian sets have unique monomial order quotient bases. Furthermore, we reveal the relation between Cartesian sets and the point sets with unique associated monomial order quotient bases. |
| Starting Page | 1250025 |
| Ending Page | 1250025 |
| Page Count | 1 |
| File Format | PDF HTM / HTML |
| DOI | 10.1142/S021949881100549X |
| Volume Number | 11 |
| Alternate Webpage(s) | https://arxiv.org/pdf/1102.2471v3.pdf |
| Alternate Webpage(s) | https://doi.org/10.1142/S021949881100549X |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |