The paper builds a general framework for representations of universal algebras with morphisms, bases, tensor products, and towers of representations, but key theorems contain unjustified steps.
Introduction into Geometry over Division Ring
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abstract
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 basis of representation. In the book I considered the notion of tower of representations of F_i-algebras, i=1, ..., n, as the set of coordinated representations of F_i-algebras. I explore the geometry of affine space as example of tower of representations. Exploration of curvilinear coordinates allows us to see how look at the main structures of the manifold with affine connection. I explore Euclidean space over division ring.
fields
math.GM 1years
2019 1verdicts
REJECT 1representative citing papers
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Diagram of Representations of Universal Algebras
The paper builds a general framework for representations of universal algebras with morphisms, bases, tensor products, and towers of representations, but key theorems contain unjustified steps.