Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lattices of Equivalence Relations Closed Under the Operations of
  Relation Algebras   One of the longstanding problems in universal algebra is the question of
which finite lattices are isomorphic to the congruence lattices of finite
algebras. This question can be phrased as which finite lattices can be
represented as lattices of equivalence relations on finite sets closed under
certain first order formulas. We generalize this question to a different
collection of first-order formulas, giving examples to demonstrate that our new
question is distinct. We then prove that every lattice $\m M_n$ can be
represented in this new way. [This is an extended version of a paper submitted
to \emph{Algebra Universalis}.]

6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph