Golden section quasigroups as special idempotent medial quasigroups
Groupoids and the associative law I. (Associative triples)
Groupoids and the associative law II. (Groupoids with small semigroup distance)
Groupoids and the associative law III. (Szász-Hájek groupoids)
Groupoids and the associative law IIIA. (Primitive extensions of SH-groupoids and their semigroup distances)
Groupoids and the associative law IV. (Szász-Hájek Groupoids of Type (A, B, A))
Groupoids and the associative law V. (Szász-Hájek groupoids fo type (A, A, B))
Groupoids and the associative law. VII. Semigroup distance of SH-groupoids
Groupoids and the associative law VIIA. (SH-groupoids of type (A, B, A) and their semigroup distances)
Groupoids and the associative law XII. (Representable cardinal functions)
Groups, transversals, and loops
A family of loops is studied, which arises with its binary operation in a natural way from some transversals possessing a ``normality condition''.
Grupoids and the associative law VII B (SH-grupoids and simply generated congruences)
GS-quasigroups
Halfnets and partial -loops
Hamiltonian quasimodules and trimedial quasigroups
Hexagonal quasigroups
Historical notes on loop theory
This paper deals with the origins and early history of loop theory, summarizing the period from the 1920s through the 1960s.
Homomorphisms of nets of fixed degree, with singular points on the same line
Identities and deleting maps on quasigroups
Identities and the group of isostrophisms
In this paper we reexamine the concept of isostrophy. We connect it to the notion of term equivalence, and describe the action of dihedral groups that are associated with loops by means of isostrophy. We also use it to prove and present in a new way some well known facts on -inverse loops and middle Bol loops.