Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Method of Additional Structures on the Objects of a Monoidal Kleisli
  Category as a Background for Information Transformers Theory   Category theory provides a compact method of encoding mathematical structures
in a uniform way, thereby enabling the use of general theorems on, for example,
equivalence and universal constructions. In this article we develop the method
of additional structures on the objects of a monoidal Kleisli category. It is
proposed to consider any uniform class of information transformers (ITs) as a
family of morphisms of a category that satisfy certain set of axioms. This
makes it possible to study in a uniform way different types of ITs, e.g.,
statistical, multivalued, and fuzzy ITs. Proposed axioms define a category of
ITs as a monoidal category that contains a subcategory (of deterministic ITs)
with finite products. Besides, it is shown that many categories of ITs can be
constructed as Kleisli categories with additional structures.

35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con