On the nonexistence of rational first integrals for systems of linear differential equations

Linear Algebra and Its Applications

Volumn 235, Issue , 1996, Pages 107-120

  Nowicki, Andrzej ^a  

^a NICOLAUS COPERNICUS UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030542615     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/0024-3795(94)00122-7     Document Type: Article

References (8)

1. A. van den Essen, Locally Nilpotent Derivations and Their Applications III, Report 9330, Catholic Univ., Nijmegen, 1993.
2. M. Ferrero, Y. Lequain, and A. Nowicki, A note on locally nilpotent derivations, J. Pure Appl. Algebra 79:45-50 (1992).
3. I. Kaplansky, An Introduction to Differential Algebra, Hermann, Paris, 1976.
4. E. R. Kolchin, Differential Algebra and Algebraic Groups, Academic, New York, 1973.
5. J. Moulin Ollagnier, A. Nowicki, and J.-M. Strelcyn, On the non-existence of constants of derivations: The proof of a theorem of Jouanolou and its development, Bull. Sci. Math., 119:195-233 (1995).
6. A. Nowicki, Rings and fields of constants for derivations in characteristic zero, J. Pure Appl. Algebra, 96:47-55 (1994).
7. n], J. Math. Kyoto Univ., 28:111-118 (1988).
8. R. Rentschler, Opérations du groupe additif sur le plan affine, C. R. Acad. Sci. Paris 267:384-387 (1968).