12 citations · 86 across the 49 of their papers we have counts for
5 papers · 2 filters
Basis of Representation of Universal Algebra
Aleks Kleyn
We say that there is a representation of the universal algebra B in the universal algebra A if the set of endomorphisms of the universal algebra A has the structure of universal al…
Linear Mappings of Quaternion Algebra
Aleks Kleyn
In the paper I considered linear and antilinear automorphisms of quaternion algebra. I proved the theorem that there is unique expansion of R-linear mapping of quaternion algebra r…
Algebra with Conjugation
Aleks Kleyn
In the paper, I consider properties and mappings of free algebra with unit. I consider also conjugation of free algebra with unit.
Polymorphism of Representations of Universal Algebra
Aleks Kleyn
In this paper I consider the polymorpism of representations of universal algebra and tensor product of representations of universal algebra.
Correspondence between Row-Column Determinants and Quasideterminants of Matrices over Quaternion Algebra
Aleks Kleyn, Ivan Kyrchei
In this paper, we considered the theory of quasideterminants and row and column determinants. We considered the application of this theory to the solving of a system of linear equa…