An Eisenstein criterion for noncommutative polynomials
Author:
J. Kovacic
Journal:
Proc. Amer. Math. Soc. 34 (1972), 25-29
MSC:
Primary 12D05; Secondary 47E05
DOI:
https://doi.org/10.1090/S0002-9939-1972-0292803-4
MathSciNet review:
0292803
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Abstract | References | Similar Articles | Additional Information
Abstract: An analogue of the Eisenstein irreducibility criterion is developed for linear differential operators, or, more generally, noncommutative polynomials, and is applied to a few simple examples.
- [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, https://doi.org/10.2307/1969111
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1972-0292803-4
Keywords:
Eisenstein criterion,
irreducibility criterion,
noncommutative polynomials,
differential rings,
differential operator
Article copyright:
© Copyright 1972
American Mathematical Society
