The Hurwitz Matrix Equations and Multifour Groups.
The hyperbolic square and Möbius transformations.
The hyperbolic triangle centroid
Some gyrocommutative gyrogroups, also known as Bruck loops or K-loops, admit scalar multiplication, turning themselves into gyrovector spaces. The latter, in turn, form the setting for hyperbolic geometry just as vector spaces form the setting for Euclidean geometry. In classical mechanics the centroid of a triangle in velocity space is the velocity of the center of momentum of three massive objects with equal masses located at the triangle vertices. Employing gyrovector space techniques we find...
The hypercentral structure of the group of unitriangular automorphisms of a polynomial algebra.
The hyperrings of order 3.
The ideal structure of -semigroups
The ideal structure of simple ternary algebras
The idempotent lifting theorem for almost completely decomposable abelian groups
The Indecomposable Modular Representations of Certain Groups with Dihedral Sylow Subgroup.
The Indecomposable Representations of the Dihedral 2-Groups.
The independence number of a subset of an Abelian group.
The influence of weakly-supplemented subgroups on the structure of finite groups
A subgroup of a finite group is weakly-supplemented in if there exists a proper subgroup of such that . In the paper it is proved that a finite group is -nilpotent provided is the smallest prime number dividing the order of and every minimal subgroup of is weakly-supplemented in where is a Sylow -subgroup of . As applications, some interesting results with weakly-supplemented minimal subgroups of are obtained.
The injective hull of S-sets, S a semilattice of groups.
The inner mappings of extra loops
The inner product of -functions
The integral homology of SL2 and PSL2 of euclidean imaginary quadratic integers.
The interplay between linear representations of the braid group.
The intersection graph of a simply ordered semigroup.
The intersection of free submonoids of a free monoid is free.
The intersection of the maximal regular subsemigroups of the semigroup of binary relations.