A note on -groups for .
Addition and correction to the paper "Diagonal algebras"
Algebras of multiplace functions.
Algorithm for the complement of orthogonal operations
G. B. Belyavskaya and G. L. Mullen showed the existence of a complement for a -tuple of orthogonal -ary operations, where , to an -tuple of orthogonal -ary operations. But they proposed no method for complementing. In this article, we give an algorithm for complementing a -tuple of orthogonal -ary operations to an -tuple of orthogonal -ary operations and an algorithm for complementing a -tuple of orthogonal -ary operations to an -tuple of orthogonal -ary operations. Also we find some...
Asymptotics for the number of -quasigroups of order 4.
Aus der Theorie der Polyquasigruppen
Cancellative relations and matrices
Caratterizzazione di una classe di anelli generalizzati
Commutation of operations and its relationship with Menger and Mann superpositions
The article considers a problem from Trokhimenko paper [13] concerning the study of abstract properties of commutations of operations and their connection with the Menger and Mann superpositions. Namely, abstract characterizations of some classes of operation algebras, whose signature consists of arbitrary families of commutations of operations, Menger and Mann superpositions and their various connections are found. Some unsolved problems are given at the end of the article.
Congruences of -group and of associated Hosszú-Gluskin algebras.
Construction of all homomorphisms of groupoids
Covering -groups of -groups
C-S-maximal superassociative systems
C-S-maximal superassociative systems. II.
Die Darstellung von partiellen -stelligen Operationen
Die -abgeschlossenen Teilmengen der Halbgruppen
Free commutative idempotent abelian groupoids and quasigroups
Free Objects in Primitive Varieties of N-groupoids
Free products of n-groups
Frobenius n-group algebras
Frobenius algebras play an important role in the representation theory of finite groups. In the present work, we investigate the (quasi) Frobenius property of n-group algebras. Using the (quasi-) Frobenius property of ring, we can obtain some information about constructions of module category over this ring ([2], p. 66-67).