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A Characterization of separable polynomials over a skew polynomial ring
Published online by Cambridge University Press: 09 April 2009
Abstract
The characterization of a separable polynomial over an indecomposable commutative ring (with no idempotents but 0 and 1) in terms of the discriminant proved by G. J. Janusz is generalized to a skew polynomial ring R [ X, ρ] over a not necessarily commutative ring R where ρ is an automorphism of R with a finite order. 1980 Mathematics subject classification (Amer. Math. Soc.): 16 A 05.
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- Copyright © Australian Mathematical Society 1985