Well-ordering of certain numerical polynomials
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- by William Yu Sit PDF
- Trans. Amer. Math. Soc. 212 (1975), 37-45 Request permission
Abstract:
An ordering is introduced in the set of numerical polynomials (in one variable) which is then shown to induce a well-ordering on a certain subset of numerical polynomials, namely those which occur as the differential dimension polynomials of differential algebraic varieties, or equivalently, those which come from initial subsets of ${{\text {N}}^m}$.References
- E. R. Kolchin, Differential algebra and algebraic groups, Pure and Applied Mathematics, Vol. 54, Academic Press, New York-London, 1973. MR 0568864
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 212 (1975), 37-45
- MSC: Primary 12H05
- DOI: https://doi.org/10.1090/S0002-9947-1975-0406992-9
- MathSciNet review: 0406992