Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the free frontal implicative semilattice extension of a frontal
  Hilbert algebra   In this paper we define a functor from the algebraic category of frontal
Hilbert algebras to the algebraic category of frontal implicative semilattices
which is left adjoint to the forgetful functor from the category of frontal
implicative semilattices to that of frontal Hilbert algebras.

17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
16
The categories of this paper are: stat
3
The categories of this paper are: physics
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int