Bednarek's extension of Light's associativity test.
Belousov equations on quasigroups.
Belousov equations on ternary quasigroups.
Bilinear three-cycles on the projective line.
Bol loop actions.
Bol loop actions
The notions of left Bol and Bol-Bruck actions are introduced. A purely algebraic analogue of a Nono family (Lie triple family), the so called Sabinin-Nono family, is given. It is shown that any Sabinin-Nono family is a left Bol-Bruck action. Finally it is proved that any local Nono family is a local left Bol-Bruck action. On general matters see [L.V. Sabinin 91, 99].
Bol loops with a large left nucleus
Possession of a unique nonidentity commutator/associator is a property which dominates the theory of loops whose loop rings, while not associative, nevertheless satisfy an ``interesting'' identity. Indeed, until now, with the exception of some ad hoc examples, the only known class of Bol loops whose loop rings satisfy the right Bol identity have this property. In this paper, we identify another class of loops whose loop rings are ``strongly right alternative'' and present various constructions of...
Bol-loops of order
In this article we construct proper Bol-loops of order using a generalisation of the semidirect product of groups defined by Birkenmeier and Xiao. Moreover we classify the obtained loops up to isomorphism.
Cancellative relations and matrices
Canonical Objects in Classes of (n, V)-Groupoids
AMS Subj. Classification: 03C05, 08B20Free algebras are very important in studying classes of algebras, especially varieties of algebras. Any algebra that belongs to a given variety of algebras can be characterized as a homomorphic image of a free algebra of that variety. Describing free algebras is an important task that can be quite complicated, since there is no general method to resolve this problem. The aim of this work is to investigate classes of groupoids, i.e. algebras with one binary operation,...
Cappi di Bruck e loro generalizzazioni
Caratterizzazione di una classe di anelli generalizzati
Categorical models and quasigroup homotopies.
Certain divisible hypergroups.
Certain Functional Equations on Groupoids Weaker than Quasigroups
Characteristic of M-polysymmetrical Hyperrings and some properties of M-Polysymmetrical Hyperrings with Unity
Characterizations of sub-semihypergroups by various triangular norms
We investigate the structure and properties of -sub-semihypergroups, where is an arbitrary triangular norm on a given complete lattice . We study its structure under the direct product and with respect to the fundamental relation. In particular, we consider and , and investigate the connection between -sub-semihypergroups and the probability space.
Characterizing intraregular semigroups by intuitionistic fuzzy sets.
In this paper, we give some theorems which characterize the intraregular semigroups in terms of intuitionistic fuzzy left, right, and biideals.
Characters of finite quasigroups VII: permutation characters
Each homogeneous space of a quasigroup affords a representation of the Bose-Mesner algebra of the association scheme given by the action of the multiplication group. The homogeneous space is said to be faithful if the corresponding representation of the Bose-Mesner algebra is faithful. In the group case, this definition agrees with the usual concept of faithfulness for transitive permutation representations. A permutation character is associated with each quasigroup permutation representation,...
Classification of Bol loops of order 18