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A note on $n$-groups for $n\ge 3$.

Novi Sad Journal of Mathematics

Addition and correction to the paper "Diagonal algebras"

Fundamenta Mathematicae

Semigroup forum

Algorithm for the complement of orthogonal operations

Commentationes Mathematicae Universitatis Carolinae

G. B. Belyavskaya and G. L. Mullen showed the existence of a complement for a $k$-tuple of orthogonal $n$-ary operations, where $k, to an $n$-tuple of orthogonal $n$-ary operations. But they proposed no method for complementing. In this article, we give an algorithm for complementing a $k$-tuple of orthogonal $n$-ary operations to an $n$-tuple of orthogonal $n$-ary operations and an algorithm for complementing a $k$-tuple of orthogonal $k$-ary operations to an $n$-tuple of orthogonal $n$-ary operations. Also we find some...

Asymptotics for the number of $n$-quasigroups of order 4.

Sibirskij Matematicheskij Zhurnal

Aus der Theorie der Polyquasigruppen

Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry

Cancellative relations and matrices

Acta Universitatis Carolinae. Mathematica et Physica

Caratterizzazione di una classe di anelli generalizzati

Rendiconti del Seminario Matematico della Università di Padova

Commutation of operations and its relationship with Menger and Mann superpositions

Discussiones Mathematicae - General Algebra and Applications

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 $n$-group and of associated Hosszú-Gluskin algebras.

Novi Sad Journal of Mathematics

Construction of all homomorphisms of groupoids

Czechoslovak Mathematical Journal

Covering $k$-groups of $n$-groups

Archivum Mathematicum

C-S-maximal superassociative systems

Fundamenta Mathematicae

C-S-maximal superassociative systems. II.

Mathematica Slovaca

Die Darstellung von partiellen $K$-stelligen Operationen

Commentationes Mathematicae Universitatis Carolinae

Die $K$-abgeschlossenen Teilmengen der Halbgruppen

Commentationes Mathematicae Universitatis Carolinae

Free commutative idempotent abelian groupoids and quasigroups

Acta Universitatis Carolinae. Mathematica et Physica

Free Objects in Primitive Varieties of N-groupoids

Publications de l'Institut Mathématique

Free products of n-groups

Fundamenta Mathematicae

Frobenius n-group algebras

Discussiones Mathematicae - General Algebra and Applications

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).

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