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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

The general solution of a first order differential polynomial


Author: Richard M. Cohn
Journal: Proc. Amer. Math. Soc. 55 (1976), 14-16
DOI: https://doi.org/10.1090/S0002-9939-1976-0396511-4
MathSciNet review: 0396511
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Abstract | References | Additional Information

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.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1976-0396511-4
Keywords: General solution, singular components, basis for a perfect differential ideal
Article copyright: © Copyright 1976 American Mathematical Society

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