Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cancelling Congruences of Lattices, While Keeping Their Numbers of
  Filters and Ideals   In this paper, we study the congruences, prime filters and prime ideals of
horizontal sums of bounded lattices, then, through a construction based on
horizontal sums and without enforcing the Continuum Hypothesis, we are
modifying an example from \cite{eucard} into a solution to the problem we have
proposed in the same article: finding a lattice with the cardinalities of the
sets of filters, ideals and congruences pairwise distinct.

12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph