Specialization and Picard-Vessiot theory
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- by Lawrence Goldman PDF
- Trans. Amer. Math. Soc. 85 (1957), 327-356 Request permission
References
- E. R. Kolchin, Existence theorems connected with the Picard-Vessiot theory of homogeneous linear ordinary differential equations, Bull. Amer. Math. Soc. 54 (1948), 927–932. MR 27744, DOI 10.1090/S0002-9904-1948-09099-1
- 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
- Joseph Fels Ritt, Differential Algebra, American Mathematical Society Colloquium Publications, Vol. XXXIII, American Mathematical Society, New York, N. Y., 1950. MR 0035763
- Emmy Noether, Gleichungen mit vorgeschriebener Gruppe, Math. Ann. 78 (1917), no. 1, 221–229 (German). MR 1511893, DOI 10.1007/BF01457099
- Bartel Leendert van der Waerden, Moderne Algebra, J. Springer, Berlin, 1940 (German). MR 0002841
Additional Information
- © Copyright 1957 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 85 (1957), 327-356
- MSC: Primary 09.3X
- DOI: https://doi.org/10.1090/S0002-9947-1957-0087645-5
- MathSciNet review: 0087645