Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constructions of Kleene lattices   We present an easy construction producing a Kleene lattice K from an
arbitrary distributive lattice L and a non-empty subset of L. We show that L
can be embedded into K and compute the cardinality of K under certain
additional assumptions. We prove that every finite chain considered as a Kleene
lattice can be represented in this way and that this construction preserves
direct products.Moreover, we demonstrate that certain Kleene lattices that are
ordinal sums of distributive lattices are representable. Finally, we prove that
not every Kleene lattice is representable.

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The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph