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Jacobson Radicals of Skew Polynomial Rings of Derivation Type

Published online by Cambridge University Press:  20 November 2018

Alireza Nasr-Isfahani
Alireza Nasr-Isfahani*
Affiliation:
Department of Mathematics, University of Isfahan, Isfahan, Iran and School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran e-mail: a nasr isfahani@yahoo.com
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Abstract

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We provide necessary and sufficient conditions for a skew polynomial ring of derivation type to be semiprimitive when the base ring has no nonzero nil ideals. This extends existing results on the Jacobson radical of skew polynomial rings of derivation type.

Keywords

16S3616N20skew polynomial ringsJacobson radicalderivation
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 57 , Issue 3 , 01 September 2014 , pp. 609 - 613
Copyright
Copyright © Canadian Mathematical Society 2014

References

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