Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On centralizers of finite lattices and semilattices   We study centralizer clones of finite lattices and semilattices. For
semilattices, we give two characterizations of the centralizer and also derive
formulas for the number of operations of a given essential arity in the
centralizer. We also characterize operations in the centralizer clone of a
distributive lattice, and we prove that the essential arity of operations in
the centralizer is bounded for every finite (possibly nondistributive) lattice.
Using these results, we present a simple derivation for the centralizers of
clones of Boolean functions.

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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
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The categories of this paper are: stat
0
The categories of this paper are: hep-ph
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The categories of this paper are: eess
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat