Some $n$-ary analogs of the notion of a normalizer of an $n$-ary subgroup in a group

In this article $n$-ary analogs of the concept of normalizer of a subgroup of a group are constructed. It is proved that in an $n$-ary group the role of these $n$-ary analogs play the concepts of a normalizer and seminormalizer of $n$-ary subgroup in $n$-ary group. A connection of these analogs with its binary prototypes is established.