Pacific Journal of Mathematics

On an extension of the Picard-Vessiot theory.

H. F. Kreimer

Article information

Source
Pacific J. Math., Volume 15, Number 1 (1965), 191-205.

Dates
First available in Project Euclid: 13 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1102996002

Mathematical Reviews number (MathSciNet)
MR0180550

Zentralblatt MATH identifier
0143.06103

Subjects
Primary: 12.80

Citation

Kreimer, H. F. On an extension of the Picard-Vessiot theory. Pacific J. Math. 15 (1965), no. 1, 191--205. https://projecteuclid.org/euclid.pjm/1102996002


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References

  • [1] R. M. Cohn, Extensions of difference fields, Amer. J. Math. 74 (1952), 507-530.
  • [2] C. H. Franke, Picard-Vessiot theory of linear homogeneous differenceequations, Trans. Amer. Math. Soc. 108 (1963), 491-515.
  • [3] Irving Kaplansky, An introduction to differentialalgebra, Hermann, Paris, 1957.
  • [4] E. R. Kolchin, Algebraic matric groups and the Picard-Vessiot theory of homo- geneous linear ordinary differential equations, Annals of Math. 49 (1948), 1-42.
  • [5] E. R. Kolchin, Picard-Vessiot theory of partial differential fields, Proc. Amer. Math. Soc. 3 (1952), 596-603.
  • [6] H. F. Kreimer, The foundations for an extension of differentialalgebra, Trans. Amer. Math. Soc, III (1964), 482-492.
  • [7] H. F. Kreimer, An extension of differentialGalois theory, accepted for publication by Trans. Amer. Math. Soc.
  • [8] Lawrence Markus, Group theory and differentialequations, Lecture notes at the University of Minnesota, Institute of Technology, Department of Mathematics.