12 citations · 86 across the 49 of their papers we have counts for
5 papers · 1 filter
Linear Equation in Finite Dimensional Algebra
Aleks Kleyn
In the paper I considered methods for solving equations of the form axb+cxd=e in the algebra which is finite dimensional over the field.
Representation of Universal Algebra
Aleks Kleyn
Theory of representations of universal algebra is a natural development of the theory of universal algebra. Morphism of the representation is the map that conserve the structure of…
Quaternion Rhapsody
Aleks Kleyn
In this paper I explore the set of quaternion algebras over field. Quaternion algebra E(C,-1,-1) is isomorphic to tensor product of complex field C and quaternion algebra H=E(R,-1,…
The Gateaux Derivative of Map over Division Ring
Aleks Kleyn
I consider differential of mapping of continuous division ring as linear mapping the most close to mapping . Different expressions which correspond to known deffinition of d…
Introduction into Geometry over Division Ring
Aleks Kleyn
Theory of representations of F-algebra is a natural development of the theory of F-algebra. Exploring of morphisms of the representation leads to the concepts of generating set and…