Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Galois theory for semiclones   We present a Galois theory connecting finitary operations with pairs of
finitary relations one of which is contained in the other. The Galois closed
sets on both sides are characterised as locally closed subuniverses of the full
iterative function algebra (semiclones) and relation pair clones, respectively.
Moreover, we describe the modified closure operators if only functions and
relation pairs of a certain bounded arity, respectively, are considered.

8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg