An additivity principle for Goldie rank. (English) Zbl 0395.17010


17B35 Universal enveloping (super)algebras
16P60 Chain conditions on annihilators and summands: Goldie-type conditions
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[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
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