Picard-Vessiot theory of linear homogeneous difference equations

Author:
Charles H. Franke

Journal:
Trans. Amer. Math. Soc. **108** (1963), 491-515

MSC:
Primary 12.80

DOI:
https://doi.org/10.1090/S0002-9947-1963-0155819-3

MathSciNet review:
0155819

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References | Similar Articles | Additional Information

**[1]**R. Cohn,*Difference algebra*, Interscience Tracts in Pure and Applied Mathematics, New York (in preparation).**[2]**I. Kaplansky,*An introduction to differential algebra*, Actualités. Sci. Ind. No. 1251 = Publ. Inst. Math. Univ. Nancago No. 5, Hermann, Paris, 1957. MR**0093654 (20:177)****[3]**E. Kolchin,*Existence theorems connected with the Picard-Vessiot theory of homogeneous linear ordinary differential equations*, Bull. Amer. Math. Soc.**54**(1948), 927-932. MR**0027744 (10:349a)****[4]**-,*Algebraic matric groups and the Picard-Vessiot theory of homogeneous linear ordinary differential equations*, Ann. of Math. (2)**49**(1948), 1-42. MR**0024884 (9:561c)****[5]**S. Lang.*Introduction to algebraic geometry*, Interscience Tracts in Pure and Applied Mathematics, New York, 1958. MR**0100591 (20:7021)**

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DOI:
https://doi.org/10.1090/S0002-9947-1963-0155819-3

Article copyright:
© Copyright 1963
American Mathematical Society