Constructions d'hyperanneaux à partir d'anneaux
Constructions of (2,n)-varieties of groupoids for n = 7, 8, 9
Constructions of color schemes
Continuously factorable groupoids.
Convex lines in median groups
There is proved that a convex maximal line in a median group , containing 0, is a direct factor of .
Coordinatization of projective planes by special planar ternary rings
Corrigendum to “Realizations of Loops and Groups defined by short identities”
Covering -groups of -groups
Cryptographic Primitives with Quasigroup Transformations
AMS Subj. Classification: Primary 20N05, Secondary 94A60The intention of this research is to justify deployment of quasigroups in cryptography, especially with new quasigroup based cryptographic hash function NaSHA as a runner in the First round of the ongoing NIST SHA-3 competition. We present new method for fast generation of huge quasigroup operations, based on the so-called extended Feistel networks and modification of the Sade’s diagonal method. We give new design of quasigroup based family of...
C-S-maximal superassociative systems
C-S-maximal superassociative systems. II.
Cyclicity in a special class of hypergroups
Definability for equational theories of commutative groupoids
We find several large classes of equations with the property that every automorphism of the lattice of equational theories of commutative groupoids fixes any equational theory generated by such equations, and every equational theory generated by finitely many such equations is a definable element of the lattice. We conjecture that the lattice has no non-identical automorphisms.
Die Darstellung von partiellen -stelligen Operationen
Die -abgeschlossenen Teilmengen der Halbgruppen
Die Schwerpunkte der Dreiecke in einigen endlichen Quasigruppen
Difference equations on discrete polynomial hypergroups.
Dihedral-like constructions of automorphic loops
Automorphic loops are loops in which all inner mappings are automorphisms. We study a generalization of the dihedral construction for groups. Namely, if is an abelian group, and , let be defined on by The resulting loop is automorphic if and only if or ( and is even). The case was introduced by Kinyon, Kunen, Phillips, and Vojtěchovský. We present several structural results about the automorphic dihedral loops in both cases.
Dimension theory for cyclically and cocyclically ordered sets
Distrbutive Quasigruppen endlicher Ordnung.