Geodesic
Identities in the universal enveloping algebra for a~Lie superalgebra
Sbornik. Mathematics, Tome 55 (1986) no. 2, pp. 383-396

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The author considers Lie superalgebras $L$ over a field of characteristic zero whose universal enveloping algebra $U(L)$ is a $PI$-algebra. Such algebras may be described as follows: the even component $L_0$ of $L$ is Abelian and the odd component $L_1$ contains an $L_0$-submodule $M$ of finite codimension such that the subspace $[L_0, M]$ is finite-dimensional. Bibliography: 13 titles. 
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     author = {Yu. A. Bahturin},
     title = {Identities in the universal enveloping algebra for {a~Lie} superalgebra},
     journal = {Sbornik. Mathematics},
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Yu. A. Bahturin. Identities in the universal enveloping algebra for a~Lie superalgebra. Sbornik. Mathematics, Tome 55 (1986) no. 2, pp. 383-396. http://geodesic.mathdoc.fr/item/SM_1986_55_2_a4/