Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Structure of cluster algebras of geometric type I: In view of
  sub-seeds and seed homomorphisms   Our motivation is to build a systematic method in order to investigate the
structure of cluster algebras of geometric type.
  The method is given through the notion of mixing-type sub-seeds, the theory
of seed homomorphisms and the view-point of gluing of seeds. As an application,
for (rooted) cluster algebras, we completely classify rooted cluster
subalgebras and characterize rooted cluster quotient algebras in detail. Also,
we build the relationship between the categorification of a rooted cluster
algebra and that of its rooted cluster subalgebras.
  Note that cluster algebras of geometric type studied here are of the
sign-skew-symmetric case.

27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an