Geodesic
Projective modules over universal enveloping algebras
Izvestiya. Mathematics , Tome 25 (1985) no. 3, pp. 429-441.

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Under certain assumptions it is proved that finitely generated projective modules over nilpotent Lie algebras are free. The proof of the main result uses a generalization to graded algebras of Quillen's localization principle and a theorem of Horrocks. Bibliography: 10 titles. 
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V. A. Artamonov. Projective modules over universal enveloping algebras. Izvestiya. Mathematics , Tome 25 (1985) no. 3, pp. 429-441. http://geodesic.mathdoc.fr/item/IM2_1985_25_3_a0/

[1] Stafford J. T., “The stable range of right Noetherian rings”, Bull. London Math. Soc., 31:1 (1981), 39–41 | DOI | MR

[2] Artamonov V. A., “Proektivnye moduli nad universalnymi obertyvayuschimi algebrami”, XVII Vsesoyuznaya algebraicheskaya konferentsiya, Tezisy soobschenii, v. 1, Minsk, 1983, 11

[3] Stafford J. T., Stably free, projective right ideals, Preprint series, No 22, Univ. of Leeds, 1982 | MR

[4] Quillen D., “Higher algebraic $K$-theory”, Lecture Notes in Math., 341, 1973, 85–147 | MR | Zbl

[5] Burbaki N., Kommutativnaya algebra, Mir, M., 1971 | MR

[6] Lam T. Y., Serre's conjecture, Lecture Notes in Math., 635, 1978 | Zbl

[7] Artamonov V. A., “Teorema Kvillena dlya graduirovannykh algebr”, Vestnik MGU, matem., mekh., 1983, no. 3, 59–61 | MR | Zbl

[8] Nastasescu C., van Oystaeyen F., Graded and filtred rings and modules, Lecture Notes in Math., 758, 1979 | MR

[9] Bass X., Algebraicheskaya $K$-teoriya, Mir, M., 1973 | MR | Zbl

[10] Burbaki N., Gruppy i algebry Li, glavy I–III, Mir, M., 1976 | MR