On semicenters of $l$-ary groupoids

In the paper the author continues to describe his research dedicated to the study of the properties of the $l$-ary groupoid $\langle A^J, [\,]_{l,\sigma,J}\rangle$ where $A^J$ is a set of all mappings of an arbitrary set $J$ in an arbitrary groupoid $A$, and the $l$-ary operation $[\,]_{l,\sigma,J}$ is defined for any integer $l\geqslant 2$ and for any permutation $\sigma$ of the set $J$. In particular, some semiabelian criteria of this $l$-ary groupoid are found.