A note on Jacobson rings and polynomial rings
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- by Miguel Ferrero and Michael M. Parmenter
- Proc. Amer. Math. Soc. 105 (1989), 281-286
- DOI: https://doi.org/10.1090/S0002-9939-1989-0929416-7
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Abstract:
As is well known, if $R$ is a ring in which every prime ideal is an intersection of primitive ideals, the same is true of $R[X]$. The purpose of this paper is to give a general theorem which shows that the above result remains true when many other classes of prime ideals are considered in place of primitive ideals.References
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Bibliographic Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 105 (1989), 281-286
- MSC: Primary 16A21
- DOI: https://doi.org/10.1090/S0002-9939-1989-0929416-7
- MathSciNet review: 929416