Free Malcev superalgebra on one odd generator and related superalgebras
Fundamentalʹnaâ i prikladnaâ matematika, Tome 10 (2004) no. 4, pp. 97-106.

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A base of the universal multiplicative envelope of the free Malcev superalgebra $\mathcal M$ on one odd generator is constructed. Some corollaries for skew-symmetric functions and central elements in free Malcev and free alternative algebras are obtained. Moreover, a base of the Poisson–Malcev superalgebra of $\mathcal M$ is constructed. As a corollary, a set of elements that spans the free alternative superalgebra on one odd generator is obtained.
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N. M. Zhukavets; I. P. Shestakov. Free Malcev superalgebra on one odd generator and related superalgebras. Fundamentalʹnaâ i prikladnaâ matematika, Tome 10 (2004) no. 4, pp. 97-106. http://geodesic.mathdoc.fr/item/FPM_2004_10_4_a7/

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