Skew polynomial extensions of commutative Noetherian Jacobson rings

Goodearl, K. R.; Letzter, E. S.

doi:10.1090/S0002-9939-1995-1254840-8

Skew polynomial extensions of commutative Noetherian Jacobson rings
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by K. R. Goodearl and E. S. Letzter

Proc. Amer. Math. Soc. 123 (1995), 1673-1680

DOI: https://doi.org/10.1090/S0002-9939-1995-1254840-8

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Abstract:

The Jacobson condition (i.e., that all prime ideals are semiprimitive) is proved to pass from a commutative noetherian ring R to a skew polynomial ring $R[y;\tau ,\delta ]$, assuming only that $\tau$ is an automorphism.

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