A. Kleyn

activity

20042025

most citedIntroduction into Calculus over Division Ring

12 citations · 86 across the 49 of their papers we have counts for

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30 papers · 1 filter

math.GM2025

Continuous Group of Transformations

Aleks Kleyn

Let $B$ be Banach algebra and $M$ be topological space. If there exists homeomorphism \[ f:M\rightarrow N \] of topological space $M$ into convex set $N$ of the space $B^{n}$ , then h…

math.GM2024

Linear Equation over Non-Commutative Algebra

Aleks Kleyn

I considered solving of the system of linear equations $a_{1 s 0}^{1} x^{1} a_{1 s 1}^{1} + ... + a_{n s 0}^{1} x^{n} a_{n s 1}^{1} = b^{1}$ $...$ $a_{1 s 0}^{n} x^{1} a_{1 s 1}^{n} + ... + a_{n s 0}^{n} x^{n} a_{n s 1}^{n} = b^{n}$ over…

math.GM2023

Introduction into Noncommutative Algebra, Volume 2

Aleks Kleyn

I dedicated the volume $2$ of monograph 'Introduction into Noncommutative Algebra' to studying of module over non-commutative algebra.

math.GM2023

Covariance in Non-Commutative Algebra

Aleks Kleyn

Consider vector space over non-commutative division algebra. Set of automorphisms of this vector space is group $G L$ . Group $G L$ acts on the set of bases of vector space (basis man…

math.GM2022

Introduction into Noncommutative Algebra, Volume 1

Aleks Kleyn

I dedicated the volume $1$ of monograph 'Introduction into Noncommutative Algebra' to studying of algebra over commutative ring. The main topics that I covered in this volume: defi…

math.GM2022

Eigenvector in Non-Commutative Algebra

Aleks Kleyn

Let $\Basis e$ be a basis of vector space $V$ over non-commutative $D…