Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hom-power associative algebras   A generalization of power associative algebra, called Hom-power associative
algebra, is studied. The main result says that a multiplicative Hom-algebra is
Hom-power associative if and only if it satisfies two identities of degrees
three and four. It generalizes Albert's result that power associativity is
equivalent to third and fourth power associativity. In particular,
multiplicative right Hom-alternative algebras and non-commutative Hom-Jordan
algebras are Hom-power associative.

24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg