Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Subfunction relations defined by the clones containing all unary
  operations   For a class C of operations on a nonempty base set A, an operation f is
called a C-subfunction of an operation g, if f = g(h_1, ..., h_n), where all
the inner functions h_i are members of C. Two operations are C-equivalent if
they are C-subfunctions of each other. The C-subfunction relation is a
quasiorder if and only if the defining class C is a clone. The C-subfunction
relations defined by clones that contain all unary operations on a finite base
set are examined. For each such clone it is determined whether the
corresponding partial order satisfies the descending chain condition and
whether it contains infinite antichains.

29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org