Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Symmetric Polynomials   In this paper, we study structure theorems of algebras of symmetric
functions. Based on a certain relation on elementary symmetric polynomials
generating such algebras, we consider perturbation in the algebras. In
particular, we understand generators of the algebras as perturbations. From
such perturbations, define injective maps on generators, which induce
algebra-monomorphisms (or embeddings) on the algebras. They provide inductive
structure theorems on algebras of symmetric polynomials. As application, we
give a computer algorithm, written in JAVA v. 8, for finding quantities from
elementary symmetric polynomials.

27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th