An Eisenstein criterion for noncommutative polynomials
Author: J. Kovacic
Journal: Proc. Amer. Math. Soc. 34 (1972), 25-29
MSC: Primary 12D05; Secondary 47E05
MathSciNet review: 0292803
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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.
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 9, 561.
Keywords: Eisenstein criterion, irreducibility criterion, noncommutative polynomials, differential rings, differential operator
Article copyright: © Copyright 1972 American Mathematical Society