Geodesic
On $T$-spaces and relations in relatively free, Lie nilpotent, associative algebras
Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 3, pp. 135-148.

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The purpose of this work is to obtain the commutator relations and Frobenius relations in a relatively free algebra $F^{(l)}$ specified by the identity $[x_1,\dots,x_l]=0$ over a field of characteristic $p>0$. These relations for $l>3$ are analogous to the relations in the algebra $F^{(3)}$ and are applied to the $T$-spaces in the algebra $F^{(l)}$. In order to study the relations in $F^{(l)}$ in more detail, we construct a model algebra analogous to the Grassmann algebra. 
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A. V. Grishin; L. M. Tsybulya; A. A. Shokola. On $T$-spaces and relations in relatively free, Lie nilpotent, associative algebras. Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 3, pp. 135-148. http://geodesic.mathdoc.fr/item/FPM_2010_16_3_a6/

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