Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the number of terms witnessing congruence modularity   We study the validity of congruence inclusions of the form $ \alpha ( \beta
\circ \alpha \gamma \circ \beta \circ \dotsc \circ \alpha \gamma \circ \beta )
\subseteq \alpha \beta \circ \alpha \gamma \circ \alpha \beta \circ \dots$ in
congruence modular varieties, with an appropriate number of terms on each side
and where juxtaposition denotes intersection. Two different methods using Day
and Gumm terms are merged in order to obtain the so far best bounds. We
introduce and study other related identities, possibly involving tolerances and
admissible relations. We also slightly improve a result by A. Day, to the
effect that if $n$ is even, then every variety with $n+2$ J\'onsson terms has
$2n+1$ Day terms.

37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ