12 citations · 86 across the 49 of their papers we have counts for
5 papers · 1 filter
Polylinear Mapping of Free Algebra
Aleks Kleyn
In this paper I consider the structure of the polylinear mapping of the free algebra over the commutative ring.
The Gateaux Derivative and Integral over Banach Algebra
Aleks Kleyn
In the paper I considered definition and structure of linear mapping of Banach algebra over commutative ring. Based on this definition I explore derivative of continuous mapping.
Linear Representation of Lie Group
Aleks Kleyn
In this book, I explored differential equations for operation in Lie group and for representations of group Lie in a vector space.
Linear Mappings of Free Algebra
Aleks Kleyn
For arbitrary F-algebra, in which the operation of addition is defined, I explore biring of matrices of mappings. The sum of matrices is determined by the sum in F-algebra, and the…
The Matrix of Linear Mappings
Aleks Kleyn
On the set of mappings of the given set, we define the product of mappings. If A is associative algebra, then we consider the set of matrices, whose elements are linear mappings of…