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A Characterization of separable polynomials over a skew polynomial ring

Published online by Cambridge University Press:  09 April 2009

George Szeto
George Szeto
Affiliation:
Mathematics Department Bradley UniversityPeoria, Illinois, U.S.A.
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Abstract

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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.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 38 , Issue 2 , April 1985 , pp. 275 - 280
Copyright
Copyright © Australian Mathematical Society 1985

References

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