Abstract differential algebra and the analytic case

Author:
A. Seidenberg

Journal:
Proc. Amer. Math. Soc. **9** (1958), 159-164

MSC:
Primary 12.80

DOI:
https://doi.org/10.1090/S0002-9939-1958-0093655-0

MathSciNet review:
0093655

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References | Similar Articles | Additional Information

**[1]**E. R. Kolchin,*Extensions of differential fields*, Ann. of Math. vol. 43 (1942) pp. 724-729. MR**0007011 (4:72b)****[2]**S. Lefschetz,*Algebraic geometry*, Princeton, 1953. MR**0056950 (15:150h)****[3]**H. Levi,*On the structure of differential polynomials and on their theory of ideals*, Trans. Amer. Math. Soc. vol. 51 (1942) pp. 532-568. MR**0006163 (3:264f)****[4]**J. F. Ritt,*Differential algebra*, Amer. Math. Soc. Colloquium Publications, vol. 33, New York, 1950. MR**0035763 (12:7c)****[5]**A. Seidenberg,*Some basic theorems in differential algebra*(*characteristic*,*arbitrary*), Trans. Amer. Math. Soc. vol. 73 (1952) pp. 174-190. MR**0049174 (14:130c)****[6]**-,*A new decision method for elementary algebra*, Ann. of Math. vol. 60 (1954) pp. 365-374. MR**0063994 (16:209a)**

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DOI:
https://doi.org/10.1090/S0002-9939-1958-0093655-0

Article copyright:
© Copyright 1958
American Mathematical Society