Irving, Ronald S.; Small, Lance W. On the characterization of primitive ideals in enveloping algebras. (English) Zbl 0437.17002 Math. Z. 173, 217-221 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 10 Documents MSC: 17B35 Universal enveloping (super)algebras 17B30 Solvable, nilpotent (super)algebras 16P10 Finite rings and finite-dimensional associative algebras 16Dxx Modules, bimodules and ideals in associative algebras 16P50 Localization and associative Noetherian rings Keywords:universal enveloping algebra; finite dimensional Lie algebra; prime ideal; heart; primitive ideal Citations:Zbl 0188.089; Zbl 0308.17007; Zbl 0366.17007; Zbl 0405.17008 PDFBibTeX XMLCite \textit{R. S. Irving} and \textit{L. W. Small}, Math. Z. 173, 217--221 (1980; Zbl 0437.17002) Full Text: DOI EuDML References: [1] Dixmier, J.: Algèbres enveloppantes. Paris: Gauthier-Villars 1974 · Zbl 0308.17007 [2] Dixmier, J.: Idéaux primitifs dans les algèbres enveloppantes. J. Algebra48, 96-112 (1977) · Zbl 0366.17007 · doi:10.1016/0021-8693(77)90296-4 [3] Duflo, M.: Certaines algèbres de type fini sont des algèbres de Jacobson. J. Algebra27, 358-365 (1973) · Zbl 0279.16010 · doi:10.1016/0021-8693(73)90110-5 [4] Formanek, E., Jategaonkar, A.V.: Subrings of noetherian rings. Proc. Amer. Math. Soc.46, 181-186 (1974) · Zbl 0267.13009 · doi:10.1090/S0002-9939-1974-0414625-5 [5] Irving, R.: Primitive ideals of certain noetherian algebras. Math. Z.169, 77-92 (1979) · Zbl 0409.16014 · doi:10.1007/BF01214914 [6] Moeglin, C.: Idéaux primitifs dans les algèbres enveloppantes. C. R. Acad. Sci. Paris Sér. A288, 709-712 (1979) · Zbl 0405.17008 [7] Quillen, D.: On the endomorphism ring of a simple module over an enveloping algebra. Proc. Amer. Math. Soc.21, 171-172 (1969) · Zbl 0188.08901 [8] Robson, J.C., Small, L.: Liberal extensions. Proc. London Math. Soc. (to appear) · Zbl 0473.16019 [9] Moeglin, C.: Idéaux bilatères dans les algèbres enveloppantes. Thèse de doctorat d’état, l’Université de Paris 6, 1980 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.