This is a preview of subscription content, log in via an institution to check access.
References
A. D.Bell, Goldie dimension of prime factors of polynomial and skew polynomial rings. To appear.
W.Borho, P.Gabriel and R.Rentschler, Primideale in Einhüllenden auflösbarer Lie-Algebren. LNM357, Berlin-Heidelberg-New York 1973.
J.Cozzens and C.Faith, Simple Noetherian rings. Cambridge 1975.
J.Dixmier, Enveloping algebras. Amsterdam-New York-Oxford 1977.
K. R. Goodearl andR. B. Warfield, Krull dimension of differential operator rings. Proc. London Math. Soc. (3),45, 49–70 (1982).
K. R. Goodearl andR. B. Warfield, Primitivity in differential operator rings. Math. Z.180, 503–523 (1982).
R.Gordon and J. C.Robson, Krull dimension. Mem. Amer. Math. Soc.133, Providence, R.I. 1973.
D. A. Jordan, Noetherian Ore extensions and Jacobson rings. J. London Math. Soc. (2),10, 281–291 (1975).
M. Lorenz, Completely prime ideals in Ore extensions. Comm. Algebra,9 (11), 1227–1232 (1981).
P. Revoy, Algebres de Weyl en characteristiquep. C. Rend. Acad. Sc. Paris276, 225–228 (1973).
J. T. Stafford, Generating modules efficiently: algebraicK-Xheory for non-commutative Noetherian rings. J. Algebra69, 312–346 (1981).
J. T. Stafford, Homological properties of the enveloping algebraU(SL 2). Math. Proc. Cambridge Phil. Soc.91, 29–37 (1982).
P. Vamos, On the minimal prime ideals of a tensor product of two fields. Math. Proc. Cambridge Phil. Soc.84, 23–35 (1978).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Sigurdsson, G. Differential operator rings whose prime factors have bounded Goldie dimension. Arch. Math 42, 348–353 (1984). https://doi.org/10.1007/BF01246126
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01246126