The general solution of a first order differential polynomial
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- by Richard M. Cohn PDF
- Proc. Amer. Math. Soc. 55 (1976), 14-16 Request permission
Abstract:
A purely algebraic proof is given of a theorem, proved analytically by Ritt, which determines the number of derivations needed to find a basis for the perfect ideal of the general solution of an algebraically irreducible first order differential polynomial.References
- E. R. Kolchin, Differential algebra and algebraic groups, Pure and Applied Mathematics, Vol. 54, Academic Press, New York-London, 1973. MR 0568864
- Joseph Fels Ritt, Differential Algebra, American Mathematical Society Colloquium Publications, Vol. XXXIII, American Mathematical Society, New York, N. Y., 1950. MR 0035763
- A. Seidenberg, Abstract differential algebra and the analytic case, Proc. Amer. Math. Soc. 9 (1958), 159–164. MR 93655, DOI 10.1090/S0002-9939-1958-0093655-0
- A. Seidenberg, Abstract differential algebra and the analytic case. II, Proc. Amer. Math. Soc. 23 (1969), 689–691. MR 248122, DOI 10.1090/S0002-9939-1969-0248122-5
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 55 (1976), 14-16
- DOI: https://doi.org/10.1090/S0002-9939-1976-0396511-4
- MathSciNet review: 0396511