On primitive elements in differentially algebraic extension fields

Author:
A. Babakhanian

Journal:
Trans. Amer. Math. Soc. **134** (1968), 71-83

MSC:
Primary 12.80

DOI:
https://doi.org/10.1090/S0002-9947-1968-0229622-4

MathSciNet review:
0229622

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References | Similar Articles | Additional Information

**[1]**S. Bank,*On the instability theory of differential polynomials*, Ann. Mat. Pura Appl. (4)**74**(1966), 83-112. MR**0204785 (34:4623)****[2]**E. R. Kolchin,*Extensions of differential fields*. I, Ann. of Math. (2)**43**(1942), 724-729. MR**0007011 (4:72b)****[3]**-,*Differential algebra*(to appear).**[4]**I. Kaplansky,*An introduction to differential algebra*, Hermann, Paris, 1957. MR**0093654 (20:177)****[5]**J. F. Ritt,*Differential algebra*, Amer. Math. Soc. Colloq. Publ., Vol. 33, Amer. Math. Soc., Providence, R. I., 1950; reprint, Dover, New York, 1966. MR**0035763 (12:7c)****[6]**W. Strodt,*Contributions to the asymptotic theory of ordinary differential equations in the complex domain*, Mem. Amer. Math. Soc. No. 13 (1954). MR**0067290 (16:702a)****[7]**-,*On the algebraic closure of certain partially ordered fields*, Trans. Amer. Math. Soc.**105**(1962), 229-250. MR**0140514 (25:3934)****[8]**-,*Graduated logarithmic fields and stability*, Univ. Wisconsin MRC Tech. Summary Rep. No. 489, 1964.**[9]**O. Zariski and P. Samuel,*Commutative algebra*, Vol. 1, Van Nostrand, Princeton, N. J., 1958. MR**0090581 (19:833e)**

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DOI:
https://doi.org/10.1090/S0002-9947-1968-0229622-4

Article copyright:
© Copyright 1968
American Mathematical Society