N. A. Shchuchkin
Skew endomorphisms on n-ary groups

Let $\overline{x}^{(k)}$ denote this element of an n-ary group G which is skew to $\overline{x}^{(k-1)}$, where k>0 and $\overline{x}^{(0)}=x$. We find the identities defining the variety of all $-ary groups for which the operation $x\mapsto\overline{x}^{(k)}$ is an endomorphism.

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