Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ramsey Orderly Algebras as a New Approach to Ramsey Algebras   Ramsey algebras are algebras that induce Ramsey spaces, which are
generalizations of the Ellentuck space and Milliken's space. Previous work
suggests a possible local version of Ramsey algebras induced by infinite
sequences. Hence, we introduce a new structure called orderly algebra. Under
our canonical setup, an algebra is Ramsey if and only if every of its induced
orderly algebra is Ramsey. In this paper, we present justifications for this
novel notion as a sound approach for further study on Ramsey algebras.

20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat