Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rota-Baxter operators on Clifford semigroups and the Yang-Baxter
  equation   In this paper, we introduce the theory of Rota-Baxter operators on Clifford
semigroups, useful tools for obtaining dual weak braces, i.e., triples
$\left(S,+,\circ\right)$ where $\left(S,+\right)$ and $\left(S,\circ\right)$
are Clifford semigroups such that $a\circ\left(b+c\right) = a\circ b - a
+a\circ c$ and $a\circ a^- = -a+a$, for all $a,b,c\in S$. To each algebraic
structure is associated a set-theoretic solution of the Yang-Baxter equation
that has a behaviour near to the bijectivity and non-degeneracy. Drawing from
the theory of Clifford semigroups, we provide methods for constructing dual
weak braces and deepen some structural aspects, including the notion of ideal.

21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga