On a class of n-ary quasigroups.
On congruence classes of -groups.
On equationally compact semigroups.
On extensions of homomorphisms and homotopies of commutative -adic groups
On Finite Multiquasigroups
On full partial quasigroups of finite order and local cardinal maximum codes.
On GD-groupoids with application to n-ary quasigroups.
On minimization theorems for polyadic groups H-derived from groups
On nilpotent n-groups
On Nuclei Of n-Ary Quasigroups
On nuclei of n-ary quasigroups.
On permutable N-groups
On Rusakov’s -ary -groups
Properties of -ary groups connected with the affine geometry are considered. Some conditions for an -ary -group to be derived from a binary group are given. Necessary and sufficient conditions for an -ary group -derived from an additive group of a field to be an -group are obtained. The existence of non-commutative -ary -groups which are not derived from any group of arity for every , is proved.
On -skew elements in polyadic groups
On Solving A System Of Balanced Functional Equations On Quasigroups
On solving a system of balanced functional equations on quasigroups I.
On symmetries and parallelogram spaces.
The notion of a TST-space is introduced and its connection with a parallelogram space is given. The existence of a TST-space is equivalent to the existence of a parallelogram space, which is a new characterization of a parallelogram space. The structure of a TST-space is described in terms of an abelian group.
On ternary semigroups of homomorphisms of ordered sets
The paper deals with the characterization of ordered sets by means of ternary semigroups of homomorphisms of ordered sets.
On the category of n-groups
On π-Groupoids