On derivations associated with different algebraic structures in group algebras
Eurasian mathematical journal, Tome 9 (2018) no. 3, pp. 8-13.

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The paper is devoted to the comparison of derivation algebras arising in associative and Lie structures of group algebras. We shall prove that an algebra of derivations given by Lie-structure contains an algebra of associative derivations. We will give a description of Lie derivations in terms of the gruppoid associated with an inner action of the group.
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A. A. Arutyunov. On derivations associated with different algebraic structures in group algebras. Eurasian mathematical journal, Tome 9 (2018) no. 3, pp. 8-13. http://geodesic.mathdoc.fr/item/EMJ_2018_9_3_a0/

[1] A.A. Arutyunov, A.S. Mishchenko, A.I. Shtern, “Derivations of group algebras”, Fundament. i Prikl. Matem., 21:6 (2016), 65–78 (in Russian)

[2] S. MacLane, Categories for the working mathematician, Springer-Verlag, 1978 | MR