The differential ideals $[y^{p}z]$
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- by M. E. Newton
- Proc. Amer. Math. Soc. 30 (1971), 229-234
- DOI: https://doi.org/10.1090/S0002-9939-1971-0285515-3
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Abstract:
In this paper we obtain Levi bases for $[{y^2}z]$ and $[{y^3}z]$, and develop the associated critical weight functions.References
- A. P. Hillman, D. G. Mead, K. B. O’Keefe, and E. S. O’Keefe, Ideals generated by products, Proc. Amer. Math. Soc. 17 (1966), 717–719. MR 197457, DOI 10.1090/S0002-9939-1966-0197457-0
- Howard Levi, On the structure of differential polynomials and on their theory of ideals, Trans. Amer. Math. Soc. 51 (1942), 532–568. MR 6163, DOI 10.1090/S0002-9947-1942-0006163-2
- D. G. Mead, Differential ideals, Proc. Amer. Math. Soc. 6 (1955), 420–432. MR 71417, DOI 10.1090/S0002-9939-1955-0071417-5
- D. G. Mead, A note on the ideal $[uv]$, Proc. Amer. Math. Soc. 14 (1963), 607–608. MR 153674, DOI 10.1090/S0002-9939-1963-0153674-4
- D. G. Mead, A necessary and sufficient condition for membership in $[uv]$, Proc. Amer. Math. Soc. 17 (1966), 470–473. MR 197458, DOI 10.1090/S0002-9939-1966-0197458-2
- Kathleen B. O’Keefe and Edward S. O’Keefe, The differential ideal $[uv]$, Proc. Amer. Math. Soc. 17 (1966), 750–756. MR 197459, DOI 10.1090/S0002-9939-1966-0197459-4
- Kathleen B. O’Keefe, A property of the differential ideal $y^{p}$, Trans. Amer. Math. Soc. 94 (1960), 483–497. MR 113880, DOI 10.1090/S0002-9947-1960-0113880-3
- Kathleen B. O’Keefe, A symmetry theorem for the differential ideal $[uv]$, Proc. Amer. Math. Soc. 12 (1961), 654–657. MR 130249, DOI 10.1090/S0002-9939-1961-0130249-2
- Kathleen B. O’Keefe, On a problem of J. F. Ritt, Pacific J. Math. 17 (1966), 149–157. MR 197460, DOI 10.2140/pjm.1966.17.149
- Kathleen B. O’Keefe, Unusual power products and the ideal $[y^{2}]$, Proc. Amer. Math. Soc. 17 (1966), 757–758. MR 195857, DOI 10.1090/S0002-9939-1966-0195857-6
- Joseph Fels Ritt, Differential Algebra, American Mathematical Society Colloquium Publications, Vol. XXXIII, American Mathematical Society, New York, N. Y., 1950. MR 0035763, DOI 10.1090/coll/033
Bibliographic Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 30 (1971), 229-234
- MSC: Primary 12.80
- DOI: https://doi.org/10.1090/S0002-9939-1971-0285515-3
- MathSciNet review: 0285515