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Specializations in differential algebra. (English) Zbl 0192.14001


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[1] Claude Chevalley, An algebraic proof of a property of Lie groups, Amer. J. Math. 63 (1941), 785 – 793. · Zbl 0026.06001
[2] Abraham Hillman, On the differential algebra of a single differential polynomial, Ann. of Math. (2) 56 (1952), 157 – 168. · Zbl 0046.31805
[3] E. R. Kolchin, Algebraic matric groups and the Picard-Vessiot theory of homogeneous linear ordinary differential equations, Ann. of Math. (2) 49 (1948), 1 – 42. · Zbl 0037.18701
[4] E. R. Kolchin, Galois theory of differential fields, Amer. J. Math. 75 (1953), 753 – 824. · Zbl 0052.27301
[5] J. F. Ritt, On a type of algebraic differential manifold, Trans. Amer. Math. Soc. 48 (1940), 542 – 552. · Zbl 0025.26501
[6] -, Differential algebra, Amer. Math. Soc. Colloquium Publications, vol. 33, New York, 1950.
[7] A. Seidenberg, Some basic theorems in differential algebra (characteristic \?, arbitrary), Trans. Amer. Math. Soc. 73 (1952), 174 – 190. · Zbl 0047.03502
[8] A. Seidenberg, An elimination theory for differential algebra, Univ. California Publ. Math. (N.S.) 3 (1956), 31 – 65.
[9] André Weil, Foundations of Algebraic Geometry, American Mathematical Society Colloquium Publications, vol. 29, American Mathematical Society, New York, 1946. · Zbl 0063.08198
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