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Jacobson Radicals of Skew Polynomial Rings of Derivation Type

  Published:2014-04-15
 Printed: Sep 2014
  • Alireza Nasr-Isfahani,
    Department of Mathematics, University of Isfahan, Isfahan, Iran
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Abstract

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: skew polynomial rings, Jacobson radical, derivation skew polynomial rings, Jacobson radical, derivation
MSC Classifications: 16S36, 16N20 show english descriptions Ordinary and skew polynomial rings and semigroup rings [See also 20M25]
Jacobson radical, quasimultiplication
16S36 - Ordinary and skew polynomial rings and semigroup rings [See also 20M25]
16N20 - Jacobson radical, quasimultiplication
 

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