An extension of differential Galois theory
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- by H. F. Kreimer
- Trans. Amer. Math. Soc. 118 (1965), 247-256
- DOI: https://doi.org/10.1090/S0002-9947-1965-0175889-8
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References
- H. F. Kreimer, The foundations for an extension of differential algebra, Trans. Amer. Math. Soc. 111 (1964), 482–492. MR 159818, DOI 10.1090/S0002-9947-1964-0159818-8
- Irving Kaplansky, An introduction to differential algebra, Publ. Inst. Math. Univ. Nancago, No. 5, Hermann, Paris, 1957. MR 0093654
- A. Białynicki-Birula, On Galois theory of fields with operators, Amer. J. Math. 84 (1962), 89–109. MR 141663, DOI 10.2307/2372805
- 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. MR 24884, DOI 10.2307/1969111
- E. R. Kolchin, Picard-Vessiot theory of partial differential fields, Proc. Amer. Math. Soc. 3 (1952), 596–603. MR 49883, DOI 10.1090/S0002-9939-1952-0049883-8
- E. R. Kolchin, Galois theory of differential fields, Amer. J. Math. 75 (1953), 753–824. MR 58591, DOI 10.2307/2372550
Bibliographic Information
- © Copyright 1965 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 118 (1965), 247-256
- MSC: Primary 12.80
- DOI: https://doi.org/10.1090/S0002-9947-1965-0175889-8
- MathSciNet review: 0175889