Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Curved Rota-Baxter systems   Rota-Baxter systems are modified by the inclusion of a curvature term. It is
shown that, subject to specific properties of the curvature form, curved
Rota-Baxter systems $(A,R,S,\omega)$ induce associative and (left) pre-Lie
products on the algebra $A$. It is also shown that if both Rota-Baxter
operators coincide with each other and the curvature is $A$-bilinear, then the
(modified by $R$) Hochschild cohomology ring over $A$ is a curved differential
graded algebra.

18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga