No CrossRef data available.
Article contents
A Characterization of separable polynomials over a skew polynomial ring
Published online by Cambridge University Press: 09 April 2009
Abstract
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
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
- Copyright
- Copyright © Australian Mathematical Society 1985
References
DeMeyer, F. and Ingraham, E. (1971), Separable algebras over commutative rings, (Lecture Notes in Mathematics, vol. 181, Springer-Verlag, Berlin-Heidelberg-New York).CrossRefGoogle Scholar
Janusz, G. J. (1966), ‘Separable algebras over commutative rings’, Trans. Amer. Math. Soc. 122, 461–479.CrossRefGoogle Scholar
Szeto, G. (1980), ‘A characterization of a cyclic Galois extension of commutative rings’, J. Pure Appl. Algebra 16, 315–322.Google Scholar
Szeto, G. and Wong, Y. F. (1982), ‘On separable cyclic extensions of rings’, J. Austral. Math. Soc. (Ser. A) 32, 165–170.CrossRefGoogle Scholar
Szeto, G. and Wong, Y. F. (1981), ‘On free quadratic extensions of rings’, Monatsch. Math. 92, 323–328.Google Scholar
You have
Access