A. Kleyn

activity

20042025

most citedIntroduction into Calculus over Division Ring

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

collaborators

Showing 2015Show all

3 papers · 1 filter

math.GM2015★ 1 cited

Quadratic Equation over Associative D-Algebra

Aleks Kleyn

In this paper, I treat quadratic equation over associative $D$ -algebra. In quaternion algebra $H$ , the equation $x^{2} = a$ has either $2$ roots, or infinitely many roots. Since $a\in…

math.GM2015

Derivative of Map of Banach algebra

Aleks Kleyn

Let $A$ be Banach algebra over commutative ring $D$ . The map $f : A \to A$ is called differentiable in the Gateaux sense, if $f (x + a) - f (x) = \partial f (x) \circ a + o (a)$ where…

math.GM2015★ 4 cited

Linear Map of $D$ -Algebra

Aleks Kleyn

Module is effective representation of ring in Abelian group. Linear map of module over commutative ring is morphism of corresponding representation. This definition is the main sub…

Quadratic Equation over Associative D-Algebra

Derivative of Map of Banach algebra

Linear Map of D-Algebra

Linear Map of $D$ -Algebra