Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polynomial identities of bicommutative algebras, Lie and Jordan elements   An algebra with identities $a(bc)=b(ac),$ $(ab)c=(ac)b$ is called
bicommutative. We construct list of identities satisfied by commutator and
anti-commutator products in a free bicommutative algebra. We give criterions
for elements of a free bicommutative algebra to be Lie or Jordan.

31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom