Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The structure of generalized inverse semigroups   We prove that the structure of right generalized inverse semigroups is
determined by free \'etale actions of inverse semigroups. This leads to a
tensor product interpretation of Yamada's classical struture theorem for
generalized inverse semigroups.

34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org