On -permutable n-groups.
Polynomial functions over finite monoids.
Presolid varieties of n-semigroups
he class of all M-solid varieties of a given type t forms a complete sublattice of the lattice ℒ(τ) of all varieties of algebrasof type t. This gives a tool for a better description of the lattice ℒ(τ) by characterization of complete sublattices. In particular, this was done for varieties of semigroups by L. Polák ([10]) as well as by Denecke and Koppitz ([4], [5]). Denecke and Hounnon characterized M-solid varieties of semirings ([3]) and M-solid varieties of groups were characterized by Koppitz...
Projection representable relations on Menger -semigroups
Abstract characterizations of relations of nonempty intersection, inclusion end equality of domains for partial -place functions are presented. Representations of Menger -semigroups by partial -place functions closed with respect to these relations are investigated.
Relations, coverings, hypergraphs and matroids
Remarks on homomorphisms and isomorphisms of G-derived polyadic groups
Remarks to Głazek's results on n-ary groups
This is a survey of the results obtained by K. Głazek and his co-workers. We restrict our attention to the problems of axiomatizations of n-ary groups, classes of n-ary groups, properties of skew elements and homomorphisms induced by skew elements, constructions of covering groups, classifications and representations of n-ary groups. Some new results are added too.
Self-orthogonal cyclic n-quasigroups.
Self-orthogonal cyclic n-quasigroups. (Short Communication).
Several aspects on the hypergroups associated with -ary relations.
Skew elements in -semigroups.
Solution of Belousov's problem
The authors prove that a local n-quasigroup defined by the equation , where , i,j = 1,...,n, are arbitrary functions, is irreducible if and only if any two functions and , i ≠ j, are not both linear homogeneous, or these functions are linear homogeneous but . This gives a solution of Belousov’s problem to construct examples of irreducible n-quasigroups for any n ≥ 3.
Some properties of -ideals and generalized -ideals, -semigroups and -groups
Subalgebras that are Cyclic as Submodules.
Ternary quasigroups and the modular group
For a positive integer , the usual definitions of -quasigroups are rather complicated: either by combinatorial conditions that effectively amount to Latin -cubes, or by identities on different -ary operations. In this paper, a more symmetrical approach to the specification of -quasigroups is considered. In particular, ternary quasigroups arise from actions of the modular group.
The construction of orthogonal k-skeins and latin k-cubes.
Topološki analogon Hosu-Gluškinove teoreme
Totally simple n-groupoids and n-quasigroups
Uniqueness of Steiner laws on cubic curves.
Universal cyclic relations