Joseph, A.; Small, L. W. An additivity principle for Goldie rank. (English) Zbl 0395.17010 Isr. J. Math. 31, 105-114 (1978). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 6 ReviewsCited in 30 Documents MSC: 17B35 Universal enveloping (super)algebras 16P60 Chain conditions on annihilators and summands: Goldie-type conditions Keywords:Finite Dimensional Lie Algebra; Gelfand-Kirillov Dimension; Enveloping Algebra; Prime Ring; Goldie Rank PDF BibTeX XML Cite \textit{A. Joseph} and \textit{L. W. Small}, Isr. J. Math. 31, 105--114 (1978; Zbl 0395.17010) Full Text: DOI References: [1] W. Borho,Recent advances in the enveloping algebras of semi-simple Lie algebras, Sem. Bourbaki, No. 489, Nov. 1976. [2] Borho, W.; Kraft, H., Über die Gelfand-Kirillov-Dimension, Math. Ann., 220, 1-24 (1976) · Zbl 0306.17005 [3] Borho, W.; Gabriel, P.; Rentschler, R., Primideale in Einhüllenden auflösbarer Liealgebren (1973), Berlin-Heidelberg-New York: Springer-Verlag, Berlin-Heidelberg-New York · Zbl 0293.17005 [4] Duflo, M., Sur la clasification des idéaux primitifs dans l’algèbre envelopante d’une algèbre de Lie semi-simple, Ann. Math., 105, 107-130 (1977) · Zbl 0346.17011 [5] N. Jacobson,Structure of Rings, Amer. Math. Soc. Colloq. Publ., Vol. XXXVII, 1974, Chap. III. [6] A. Joseph,Towards the Jantzen conjecture, perprint, Orsay, Nov. 1977. [7] A. Joseph,Towards the Jantzen conjecture II, preprint, Jerusalem, Feb. 1978. [8] Small, L. W., Orders in Artinian rings, J. Algebra, 4, 13-41 (1966) · Zbl 0147.28703 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.