Geodesic
Linearity of $n$-ary associative algebras
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 57 (2023) no. 1, pp. 9-22

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In this paper $n$-ary regular division associative algebras are discussed. It is shown that every operation in $n$-ary regular division associative algebra will be endo-linearly represented over the same binary group. Schaufler like theorem will be proved for those algebras.
Keywords: $\forall\exists(\forall)$-identities, regular division groupoids, $n$-ary groupoids, quasiendomorphisms, Schaufler theorem. 
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     title = {Linearity   of  $n$-ary  associative  algebras},
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D. N. Harutyunyan. Linearity   of  $n$-ary  associative  algebras. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 57 (2023) no. 1, pp. 9-22. http://geodesic.mathdoc.fr/item/UZERU_2023_57_1_a1/