Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebras of distributions for binary semi-isolating formulas of a
  complete theory   We define a class of algebras describing links of binary semi-isolating
formulas on a set of realizations for a family of 1-types of a complete theory.
These algebras include algebras of isolating formulas considered before. We
prove that a set of labels for binary semi-isolating formulas on a set of
realizations for a 1-type forms a monoid of a special form with a partial order
inducing ranks for labels, with set-theoretic operations, and with a
composition. We describe the class of these structures. A description of the
class of structures relative to families of 1-types is given.

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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin