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On the semiprimitivity of skew polynomial rings

Published online by Cambridge University Press:  20 January 2009

A. Moussavi
A. Moussavi
Affiliation:
Department of Pure Mathematics, University of Sheffield, Sheffield S3 7RH Department of Mathematics, Tarbiat Modarres University, P.O. Box 14155-4838, Tehran, Iran
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Abstract

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Let R be a left Noetherian ring with the ascending chain condition on right annihilators, let α be a ring monomorphism of R and δ an α-derivation of R. We prove that, if R is semiprime or α-prime, then R[X;α, δ] is semiprimitive (and left Goldie), and that J(R[X;α]) equals N(R)[X;α].

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 36 , Issue 2 , June 1993 , pp. 169 - 178
Copyright
Copyright © Edinburgh Mathematical Society 1993

References

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